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57732064 = 25131071297
BaseRepresentation
bin1101110000111…
…0101111100000
311000122002111121
43130032233200
5104234411224
65421222024
71300500025
oct334165740
9130562447
1057732064
112a651a55
1217401914
13bc648b0
14794b54c
155105be4
hex370ebe0

57732064 has 48 divisors (see below), whose sum is σ = 123642288. Its totient is φ = 26376192.

The previous prime is 57732053. The next prime is 57732109. The reversal of 57732064 is 46023775.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43864 + ... + 45160.

It is an arithmetic number, because the mean of its divisors is an integer number (2575881).

Almost surely, 257732064 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 57732064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61821144).

57732064 is an abundant number, since it is smaller than the sum of its proper divisors (65910224).

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

57732064 is a wasteful number, since it uses less digits than its factorization.

57732064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 34.

The square root of 57732064 is about 7598.1618829820. The cubic root of 57732064 is about 386.4906822360.

The spelling of 57732064 in words is "fifty-seven million, seven hundred thirty-two thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 107 208 214 416 428 856 1297 1391 1712 2594 2782 3424 5188 5564 10376 11128 16861 20752 22256 33722 41504 44512 67444 134888 138779 269776 277558 539552 555116 1110232 1804127 2220464 3608254 4440928 7216508 14433016 28866032 57732064