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57165696 = 2733717139
BaseRepresentation
bin1101101000010…
…0011110000000
310222120022121000
43122010132000
5104113300241
65401132000
71262620560
oct332043600
9128508530
1057165696
112a2a5485
121718a000
13bac6b73
147840da0
155042eb6
hex3684780

57165696 has 256 divisors, whose sum is σ = 205632000. Its totient is φ = 15261696.

The previous prime is 57165671. The next prime is 57165709. The reversal of 57165696 is 69656175.

Its product of digits (340200) is a multiple of the sum of its prime divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 411195 + ... + 411333.

It is an arithmetic number, because the mean of its divisors is an integer number (803250).

Almost surely, 257165696 is an apocalyptic number.

57165696 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 57165696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102816000).

57165696 is an abundant number, since it is smaller than the sum of its proper divisors (148466304).

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

57165696 is a wasteful number, since it uses less digits than its factorization.

57165696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 168 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The square root of 57165696 is about 7560.7999576764. The cubic root of 57165696 is about 385.2226653718. Note that the first 3 decimals are identical.

The spelling of 57165696 in words is "fifty-seven million, one hundred sixty-five thousand, six hundred ninety-six".