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998404736 = 2772115281
BaseRepresentation
bin111011100000100…
…111001010000000
32120120200012211012
4323200213022000
54021042422421
6243023140052
733512204660
oct7340471200
92516605735
10998404736
1147263428a
1223a444628
1312bacc044
14968541a0
155c9b895b
hex3b827280

998404736 has 64 divisors (see below), whose sum is σ = 2284359360. Its totient is φ = 425779200.

The previous prime is 998404733. The next prime is 998404753. The reversal of 998404736 is 637404899.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (998404733) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186416 + ... + 191696.

It is an arithmetic number, because the mean of its divisors is an integer number (35693115).

Almost surely, 2998404736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 998404736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142179680).

998404736 is an abundant number, since it is smaller than the sum of its proper divisors (1285954624).

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

998404736 is a wasteful number, since it uses less digits than its factorization.

998404736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5513 (or 5501 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 50.

The square root of 998404736 is about 31597.5431956347. The cubic root of 998404736 is about 999.4679623194.

The spelling of 998404736 in words is "nine hundred ninety-eight million, four hundred four thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 211 224 422 448 844 896 1477 1688 2954 3376 5281 5908 6752 10562 11816 13504 21124 23632 27008 36967 42248 47264 73934 84496 94528 147868 168992 189056 295736 337984 591472 675968 1114291 1182944 2228582 2365888 4457164 4731776 7800037 8914328 15600074 17828656 31200148 35657312 62400296 71314624 124800592 142629248 249601184 499202368 998404736