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57016440 = 233351331131
BaseRepresentation
bin1101100110000…
…0000001111000
310222021201212000
43121200001320
5104044011230
65354021000
71261426455
oct331400170
9128251760
1057016440
112a203328
1217117760
13ba73c50
14780282c
155013b60
hex3660078

57016440 has 256 divisors, whose sum is σ = 212889600. Its totient is φ = 13478400.

The previous prime is 57016439. The next prime is 57016447. The reversal of 57016440 is 4461075.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57016447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 435175 + ... + 435305.

It is an arithmetic number, because the mean of its divisors is an integer number (831600).

Almost surely, 257016440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57016440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106444800).

57016440 is an abundant number, since it is smaller than the sum of its proper divisors (155873160).

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

57016440 is a wasteful number, since it uses less digits than its factorization.

57016440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 57016440 is about 7550.9231223738. The cubic root of 57016440 is about 384.8871091960.

The spelling of 57016440 in words is "fifty-seven million, sixteen thousand, four hundred forty".