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57374016 = 263742689
BaseRepresentation
bin1101101011011…
…1010101000000
310222221220100120
43122313111000
5104141432031
65405420240
71264446120
oct332672500
9128856316
1057374016
112a427a47
121726a680
13bb6a92b
147896c80
155084a96
hex36b7540

57374016 has 56 divisors (see below), whose sum is σ = 173492160. Its totient is φ = 16392192.

The previous prime is 57374011. The next prime is 57374027. The reversal of 57374016 is 61047375.

57374016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×573740163 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57374011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20001 + ... + 22688.

Almost surely, 257374016 is an apocalyptic number.

57374016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

57374016 is an abundant number, since it is smaller than the sum of its proper divisors (116118144).

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

57374016 is a wasteful number, since it uses less digits than its factorization.

57374016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42711 (or 42701 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 57374016 is about 7574.5637498142. The cubic root of 57374016 is about 385.6900336702.

The spelling of 57374016 in words is "fifty-seven million, three hundred seventy-four thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 42689 85378 128067 170756 256134 298823 341512 512268 597646 683024 896469 1024536 1195292 1366048 1792938 2049072 2390584 2732096 3585876 4098144 4781168 7171752 8196288 9562336 14343504 19124672 28687008 57374016