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398965056 = 2637242407
BaseRepresentation
bin10111110001111…
…011100101000000
31000210201112011120
4113301323211000
51304113340211
6103331112240
712613101300
oct2761734500
91023645146
10398965056
11195229396
12b1742680
136486b4c9
143adb5600
152505bd06
hex17c7b940

398965056 has 84 divisors (see below), whose sum is σ = 1227966048. Its totient is φ = 113987328.

The previous prime is 398965033. The next prime is 398965057. The reversal of 398965056 is 650569893.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-3 number, since 3×3989650563 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398965057) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11796 + ... + 30611.

Almost surely, 2398965056 is an apocalyptic number.

It is an amenable number.

398965056 is an abundant number, since it is smaller than the sum of its proper divisors (829000992).

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

398965056 is a wasteful number, since it uses less digits than its factorization.

398965056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42436 (or 42419 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 51.

The square root of 398965056 is about 19974.1096422344. The cubic root of 398965056 is about 736.1702898342.

The spelling of 398965056 in words is "three hundred ninety-eight million, nine hundred sixty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1344 1568 2352 3136 4704 9408 42407 84814 127221 169628 254442 296849 339256 508884 593698 678512 890547 1017768 1187396 1357024 1781094 2035536 2077943 2374792 2714048 3562188 4071072 4155886 4749584 6233829 7124376 8142144 8311772 9499168 12467658 14248752 16623544 18998336 24935316 28497504 33247088 49870632 56995008 66494176 99741264 132988352 199482528 398965056