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400090504 = 231111294027
BaseRepresentation
bin10111110110001…
…110010110001000
31000212211200222211
4113312032112020
51304410344004
6103411154504
712625466422
oct2766162610
91025750884
10400090504
11195927a10
12b1ba5a34
1364b73858
143b1c9812
15251d0504
hex17d8e588

400090504 has 32 divisors (see below), whose sum is σ = 819295200. Its totient is φ = 181653120.

The previous prime is 400090499. The next prime is 400090517. The reversal of 400090504 is 405090004.

It is a super-2 number, since 2×4000905042 = 320144822781948032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97339 + ... + 101365.

It is an arithmetic number, because the mean of its divisors is an integer number (25602975).

Almost surely, 2400090504 is an apocalyptic number.

400090504 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

400090504 is an abundant number, since it is smaller than the sum of its proper divisors (419204696).

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

400090504 is a wasteful number, since it uses less digits than its factorization.

400090504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5173 (or 5169 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 400090504 is about 20002.2624720305. The cubic root of 400090504 is about 736.8618654686.

Multiplying 400090504 by its sum of digits (22), we get a palindrome (8801991088).

The spelling of 400090504 in words is "four hundred million, ninety thousand, five hundred four".

Divisors: 1 2 4 8 11 22 44 88 1129 2258 4027 4516 8054 9032 12419 16108 24838 32216 44297 49676 88594 99352 177188 354376 4546483 9092966 18185932 36371864 50011313 100022626 200045252 400090504