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57316896 = 2539713
BaseRepresentation
bin1101101010100…
…1011000100000
310222212000000000
43122221120200
5104133120041
65404300000
71264120440
oct332513040
9128760000
1057316896
112a39903a
1217241600
13bb4a930
147880120
155072bb6
hex36a9620

57316896 has 240 divisors, whose sum is σ = 208321344. Its totient is φ = 15116544.

The previous prime is 57316891. The next prime is 57316913. The reversal of 57316896 is 69861375.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57316891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4408986 + ... + 4408998.

Almost surely, 257316896 is an apocalyptic number.

57316896 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57316896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104160672).

57316896 is an abundant number, since it is smaller than the sum of its proper divisors (151004448).

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

57316896 is an frugal number, since it uses more digits than its factorization.

57316896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 25 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 57316896 is about 7570.7922967151. The cubic root of 57316896 is about 385.5619970238.

The spelling of 57316896 in words is "fifty-seven million, three hundred sixteen thousand, eight hundred ninety-six".