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400057328 = 241117133709
BaseRepresentation
bin10111110110000…
…110001111110000
31000212210000111002
4113312012033300
51304403313303
6103410341132
712625300616
oct2766061760
91025700432
10400057328
11195904aa0
12b1b8a7a8
1364b61718
143b1bb6b6
15251c5788
hex17d863f0

400057328 has 40 divisors (see below), whose sum is σ = 895322160. Its totient is φ = 171146240.

The previous prime is 400057321. The next prime is 400057393. The reversal of 400057328 is 823750004.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 400057328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400057321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63863 + ... + 69846.

It is an arithmetic number, because the mean of its divisors is an integer number (22383054).

Almost surely, 2400057328 is an apocalyptic number.

It is an amenable number.

400057328 is an abundant number, since it is smaller than the sum of its proper divisors (495264832).

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

400057328 is a wasteful number, since it uses less digits than its factorization.

400057328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133745 (or 133739 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 400057328 is about 20001.4331486521. The cubic root of 400057328 is about 736.8414977396.

The spelling of 400057328 in words is "four hundred million, fifty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 272 374 748 1496 2992 133709 267418 534836 1069672 1470799 2139344 2273053 2941598 4546106 5883196 9092212 11766392 18184424 23532784 25003583 36368848 50007166 100014332 200028664 400057328