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57060752 = 247796449
BaseRepresentation
bin1101100110101…
…0110110010000
310222100222122012
43121222312100
5104101421002
65355002052
71262002610
oct331526620
9128328565
1057060752
112a233651
1217139328
13ba8b178
147814a40
155021d52
hex366ad90

57060752 has 40 divisors (see below), whose sum is σ = 127968000. Its totient is φ = 24141312.

The previous prime is 57060713. The next prime is 57060761. The reversal of 57060752 is 25706075.

It is a happy number.

57060752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5624 + ... + 12072.

It is an arithmetic number, because the mean of its divisors is an integer number (3199200).

Almost surely, 257060752 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 57060752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63984000).

57060752 is an abundant number, since it is smaller than the sum of its proper divisors (70907248).

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

57060752 is a wasteful number, since it uses less digits than its factorization.

57060752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6543 (or 6537 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 32.

The square root of 57060752 is about 7553.8567632700. The cubic root of 57060752 is about 384.9867921482.

The spelling of 57060752 in words is "fifty-seven million, sixty thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 56 79 112 158 316 553 632 1106 1264 2212 4424 6449 8848 12898 25796 45143 51592 90286 103184 180572 361144 509471 722288 1018942 2037884 3566297 4075768 7132594 8151536 14265188 28530376 57060752