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402406431 = 3741467371
BaseRepresentation
bin10111111111000…
…011110000011111
31001001012100211220
4113333003300133
51311004001211
6103532544423
712654253410
oct2777036037
91031170756
10402406431
111971699a9
12b2922113
13654a4a1b
143b62d807
15254db806
hex17fc3c1f

402406431 has 16 divisors (see below), whose sum is σ = 628147968. Its totient is φ = 224337600.

The previous prime is 402406429. The next prime is 402406481. The reversal of 402406431 is 134604204.

It is not a de Polignac number, because 402406431 - 21 = 402406429 is a prime.

It is a super-2 number, since 2×4024064312 = 323861871420315522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402406481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232825 + ... + 234546.

It is an arithmetic number, because the mean of its divisors is an integer number (39259248).

Almost surely, 2402406431 is an apocalyptic number.

402406431 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

402406431 is a deficient number, since it is larger than the sum of its proper divisors (225741537).

402406431 is a wasteful number, since it uses less digits than its factorization.

402406431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467422.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 402406431 is about 20060.0705631860. The cubic root of 402406431 is about 738.2809078180.

The spelling of 402406431 in words is "four hundred two million, four hundred six thousand, four hundred thirty-one".

Divisors: 1 3 7 21 41 123 287 861 467371 1402113 3271597 9814791 19162211 57486633 134135477 402406431