Base | Representation |
---|---|
bin | 111100110000… |
… | …0000000000000 |
3 | 2012221011200000 |
4 | 1321200000000 |
5 | 31123203441 |
6 | 3054400000 |
7 | 534503406 |
oct | 171400000 |
9 | 65834600 |
10 | 31850496 |
11 | 16a84827 |
12 | a800000 |
13 | 67a2362 |
14 | 4331476 |
15 | 2be22b6 |
hex | 1e60000 |
31850496 has 108 divisors (see below), whose sum is σ = 95420052. Its totient is φ = 10616832.
The previous prime is 31850491. The next prime is 31850513. The reversal of 31850496 is 69405813.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is a Jordan-Polya number, since it can be written as (4!)5 ⋅ (2!)2.
It is a tau number, because it is divible by the number of its divisors (108).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nialpdrome in base 12.
It is a zygodrome in base 2.
It is a self number, because there is not a number n which added to its sum of digits gives 31850496.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (31850491) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10616831 + 10616832 + 10616833.
It is an arithmetic number, because the mean of its divisors is an integer number (883519).
Almost surely, 231850496 is an apocalyptic number.
31850496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 31850496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47710026).
31850496 is an abundant number, since it is smaller than the sum of its proper divisors (63569556).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
31850496 is an frugal number, since it uses more digits than its factorization.
31850496 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 49 (or 5 counting only the distinct ones).
The product of its (nonzero) digits is 25920, while the sum is 36.
The square root of 31850496 is about 5643.6243673724. The cubic root of 31850496 is about 316.9850158939.
31850496 divided by its sum of digits (36) gives a cube (884736 = 963).
The spelling of 31850496 in words is "thirty-one million, eight hundred fifty thousand, four hundred ninety-six".
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