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57025080 = 23335719397
BaseRepresentation
bin1101100110001…
…0001000111000
310222022011201000
43121202020320
5104044300310
65354125000
71261463610
oct331421070
9128264630
1057025080
112a209872
1217120760
13ba77b68
147805a40
1550164c0
hex3662238

57025080 has 256 divisors, whose sum is σ = 229248000. Its totient is φ = 12317184.

The previous prime is 57025079. The next prime is 57025081. The reversal of 57025080 is 8052075.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (57025079) and next prime (57025081).

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 (57025081) 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 63 ways as a sum of consecutive naturals, for example, 143442 + ... + 143838.

It is an arithmetic number, because the mean of its divisors is an integer number (895500).

Almost surely, 257025080 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 57025080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114624000).

57025080 is an abundant number, since it is smaller than the sum of its proper divisors (172222920).

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

57025080 is a wasteful number, since it uses less digits than its factorization.

57025080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 57025080 is about 7551.4952161807. The cubic root of 57025080 is about 384.9065495344.

The spelling of 57025080 in words is "fifty-seven million, twenty-five thousand, eighty".