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400942157 = 72114118143
BaseRepresentation
bin10111111001011…
…110010001001101
31000221102222020112
4113321132101031
51310120122112
6103441325405
712635644400
oct2771362115
91027388215
10400942157
11196359860
12b2336865
13650b13a5
143b36bd37
15252eca22
hex17e5e44d

400942157 has 24 divisors (see below), whose sum is σ = 521240832. Its totient is φ = 304785600.

The previous prime is 400942153. The next prime is 400942211. The reversal of 400942157 is 751249004.

It is a happy number.

It is not a de Polignac number, because 400942157 - 22 = 400942153 is a prime.

It is a super-2 number, since 2×4009421572 = 321509226519625298, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400942153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13028 + ... + 31170.

It is an arithmetic number, because the mean of its divisors is an integer number (21718368).

Almost surely, 2400942157 is an apocalyptic number.

It is an amenable number.

400942157 is a deficient number, since it is larger than the sum of its proper divisors (120298675).

400942157 is a wasteful number, since it uses less digits than its factorization.

400942157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18209 (or 18202 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 400942157 is about 20023.5400716257. The cubic root of 400942157 is about 737.3843354758.

The spelling of 400942157 in words is "four hundred million, nine hundred forty-two thousand, one hundred fifty-seven".

Divisors: 1 7 11 41 49 77 287 451 539 2009 3157 18143 22099 127001 199573 743863 889007 1397011 5207041 8182493 9779077 36449287 57277451 400942157