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57949056 = 27321117269
BaseRepresentation
bin1101110100001…
…1101110000000
311001001010011100
43131003232000
5104313332211
65430014400
71302362454
oct335035600
9131033140
1057949056
112a78aa90
12174a7400
13c00c5a9
1479a6664
15514a156
hex3743b80

57949056 has 192 divisors, whose sum is σ = 193330800. Its totient is φ = 16465920.

The previous prime is 57949051. The next prime is 57949063. The reversal of 57949056 is 65094975.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×579490562 = 6716186182582272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57949051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215290 + ... + 215558.

Almost surely, 257949056 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 57949056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96665400).

57949056 is an abundant number, since it is smaller than the sum of its proper divisors (135381744).

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

57949056 is a wasteful number, since it uses less digits than its factorization.

57949056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 302 counting only the distinct ones).

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

The square root of 57949056 is about 7612.4277336471. The cubic root of 57949056 is about 386.9742987158.

The spelling of 57949056 in words is "fifty-seven million, nine hundred forty-nine thousand, fifty-six".