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405316872 = 2334625489
BaseRepresentation
bin11000001010001…
…010010100001000
31001020200020020000
4120022022110020
51312230114442
6104115203000
713021064562
oct3012122410
91036606200
10405316872
11198877624
12b38a6460
1365c8368c
143bb8a332
15258b3d4c
hex1828a508

405316872 has 40 divisors (see below), whose sum is σ = 1135264350. Its totient is φ = 135105408.

The previous prime is 405316859. The next prime is 405316883. The reversal of 405316872 is 278613504.

405316872 is a `hidden beast` number, since 40 + 531 + 6 + 87 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 341732196 + 63584676 = 18486^2 + 7974^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 312097 + ... + 313392.

Almost surely, 2405316872 is an apocalyptic number.

It is an amenable number.

405316872 is an abundant number, since it is smaller than the sum of its proper divisors (729947478).

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

405316872 is a wasteful number, since it uses less digits than its factorization.

405316872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625507 (or 625494 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 405316872 is about 20132.4830063259. The cubic root of 405316872 is about 740.0565284307.

The spelling of 405316872 in words is "four hundred five million, three hundred sixteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 625489 1250978 1876467 2501956 3752934 5003912 5629401 7505868 11258802 15011736 16888203 22517604 33776406 45035208 50664609 67552812 101329218 135105624 202658436 405316872