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57097152 = 263273172
BaseRepresentation
bin1101100111001…
…1101111000000
310222102211120100
43121303233000
5104104102102
65355442400
71262214000
oct331635700
9128384510
1057097152
112a258a32
1217156400
13baa18c8
147824000
15502ca1c
hex3673bc0

57097152 has 252 divisors, whose sum is σ = 202742800. Its totient is φ = 15353856.

The previous prime is 57097141. The next prime is 57097153. The reversal of 57097152 is 25179075.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×570971522 = 6520169533022208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57097153) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3358648 + ... + 3358664.

Almost surely, 257097152 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 57097152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101371400).

57097152 is an abundant number, since it is smaller than the sum of its proper divisors (145645648).

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

57097152 is a wasteful number, since it uses less digits than its factorization.

57097152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The square root of 57097152 is about 7556.2657444005. The cubic root of 57097152 is about 385.0686379002.

The spelling of 57097152 in words is "fifty-seven million, ninety-seven thousand, one hundred fifty-two".