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57064896 = 2632714153
BaseRepresentation
bin1101100110101…
…1110111000000
310222101012022200
43121223313000
5104102034041
65355033200
71262020650
oct331536700
9128335280
1057064896
112a236779
121713b800
13ba90015
147816360
1550231b6
hex366bdc0

57064896 has 84 divisors (see below), whose sum is σ = 186946032. Its totient is φ = 16303104.

The previous prime is 57064877. The next prime is 57064949. The reversal of 57064896 is 69846075.

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3045 + ... + 11108.

It is an arithmetic number, because the mean of its divisors is an integer number (2225548).

Almost surely, 257064896 is an apocalyptic number.

57064896 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

57064896 is an abundant number, since it is smaller than the sum of its proper divisors (129881136).

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

57064896 is a wasteful number, since it uses less digits than its factorization.

57064896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14178 (or 14165 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 57064896 is about 7554.1310552571. The cubic root of 57064896 is about 384.9961117278.

The spelling of 57064896 in words is "fifty-seven million, sixty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 14153 28306 42459 56612 84918 99071 113224 127377 169836 198142 226448 254754 297213 339672 396284 452896 509508 594426 679344 792568 891639 905792 1019016 1188852 1358688 1585136 1783278 2038032 2377704 2717376 3170272 3566556 4076064 4755408 6340544 7133112 8152128 9510816 14266224 19021632 28532448 57064896