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57310064 = 247717207
BaseRepresentation
bin1101101010011…
…1101101110000
310222211122121222
43122213231300
5104132410224
65404204212
71264061510
oct332475560
9128748558
1057310064
112a393999
1217239668
13bb477a6
14787b840
155070b5e
hex36a7b70

57310064 has 40 divisors (see below), whose sum is σ = 128706048. Its totient is φ = 24212160.

The previous prime is 57310051. The next prime is 57310069. The reversal of 57310064 is 46001375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57310069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4349 + ... + 11555.

Almost surely, 257310064 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 57310064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64353024).

57310064 is an abundant number, since it is smaller than the sum of its proper divisors (71395984).

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

57310064 is a wasteful number, since it uses less digits than its factorization.

57310064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7293 (or 7287 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 57310064 is about 7570.3410755395. The cubic root of 57310064 is about 385.5466771419.

The spelling of 57310064 in words is "fifty-seven million, three hundred ten thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 71 112 142 284 497 568 994 1136 1988 3976 7207 7952 14414 28828 50449 57656 100898 115312 201796 403592 511697 807184 1023394 2046788 3581879 4093576 7163758 8187152 14327516 28655032 57310064