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57061664 = 2511214737
BaseRepresentation
bin1101100110101…
…1000100100000
310222101000212222
43121223010200
5104101433124
65355010212
71262005352
oct331530440
9128330788
1057061664
112a234300
1217139968
13ba8b6ca
1478150d2
15502225e
hex366b120

57061664 has 36 divisors (see below), whose sum is σ = 123489702. Its totient is φ = 25935360.

The previous prime is 57061663. The next prime is 57061679. The reversal of 57061664 is 46616075.

It can be written as a sum of positive squares in only one way, i.e., 39589264 + 17472400 = 6292^2 + 4180^2 .

It is not an unprimeable number, because it can be changed into a prime (57061663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3497 + ... + 11240.

Almost surely, 257061664 is an apocalyptic number.

It is an amenable number.

57061664 is an abundant number, since it is smaller than the sum of its proper divisors (66428038).

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

57061664 is a wasteful number, since it uses less digits than its factorization.

57061664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14769 (or 14750 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 57061664 is about 7553.9171295428. The cubic root of 57061664 is about 384.9888432141.

The spelling of 57061664 in words is "fifty-seven million, sixty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 14737 29474 58948 117896 162107 235792 324214 471584 648428 1296856 1783177 2593712 3566354 5187424 7132708 14265416 28530832 57061664