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9998496 = 2532149233
BaseRepresentation
bin100110001001…
…000010100000
3200210222100200
4212021002200
510024422441
6554145200
7150662064
oct46110240
920728320
109998496
11570a022
123422200
1320c0c91
141483aa4
15d277b6
hex9890a0

9998496 has 72 divisors (see below), whose sum is σ = 28746900. Its totient is φ = 3296256.

The previous prime is 9998479. The next prime is 9998539. The reversal of 9998496 is 6948999.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8643600 + 1354896 = 2940^2 + 1164^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42796 + ... + 43028.

Almost surely, 29998496 is an apocalyptic number.

9998496 is a gapful number since it is divisible by the number (96) 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 9998496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14373450).

9998496 is an abundant number, since it is smaller than the sum of its proper divisors (18748404).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9998496 is a wasteful number, since it uses less digits than its factorization.

9998496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 387 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The square root of 9998496 is about 3162.0398479463. The cubic root of 9998496 is about 215.4326675624.

The spelling of 9998496 in words is "nine million, nine hundred ninety-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 149 233 288 298 447 466 596 699 894 932 1192 1341 1398 1788 1864 2097 2384 2682 2796 3576 3728 4194 4768 5364 5592 7152 7456 8388 10728 11184 14304 16776 21456 22368 33552 34717 42912 67104 69434 104151 138868 208302 277736 312453 416604 555472 624906 833208 1110944 1249812 1666416 2499624 3332832 4999248 9998496