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57039528 = 2337313241
BaseRepresentation
bin1101100110010…
…1101010101000
310222022220112010
43121211222220
5104100231103
65354315520
71261554000
oct331455250
9128286463
1057039528
112a219707
1217128ba0
13ba81600
14780b000
15501a903
hex3665aa8

57039528 has 192 divisors, whose sum is σ = 184464000. Its totient is φ = 14676480.

The previous prime is 57039527. The next prime is 57039547. The reversal of 57039528 is 82593075.

57039528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (57039527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1391188 + ... + 1391228.

It is an arithmetic number, because the mean of its divisors is an integer number (960750).

Almost surely, 257039528 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 57039528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92232000).

57039528 is an abundant number, since it is smaller than the sum of its proper divisors (127424472).

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

57039528 is a wasteful number, since it uses less digits than its factorization.

57039528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 57039528 is about 7552.4517873337. The cubic root of 57039528 is about 384.9390537135.

The spelling of 57039528 in words is "fifty-seven million, thirty-nine thousand, five hundred twenty-eight".