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57714048 = 2732717421
BaseRepresentation
bin1101110000101…
…0010110000000
311000121011210100
43130022112000
5104233322143
65421002400
71300363350
oct334122600
9130534710
1057714048
112a63a467
12173b3400
13bc59632
147944b60
1551006d3
hex370a580

57714048 has 192 divisors, whose sum is σ = 201445920. Its totient is φ = 15482880.

The previous prime is 57714037. The next prime is 57714071. The reversal of 57714048 is 84041775.

57714048 is a `hidden beast` number, since 577 + 1 + 40 + 48 = 666.

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

It is a super-2 number, since 2×577140482 = 6661822673092608, 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136878 + ... + 137298.

Almost surely, 257714048 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 57714048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100722960).

57714048 is an abundant number, since it is smaller than the sum of its proper divisors (143731872).

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

57714048 is a wasteful number, since it uses less digits than its factorization.

57714048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 57714048 is about 7596.9762405841. The cubic root of 57714048 is about 386.4504749977.

The spelling of 57714048 in words is "fifty-seven million, seven hundred fourteen thousand, forty-eight".