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57163968 = 263411027
BaseRepresentation
bin1101101000010…
…0000011000000
310222120020020000
43122010003000
5104113221333
65401120000
71262612541
oct332040300
9128506200
1057163968
112a2a4154
1217189000
13bac6144
1478404c8
155042713
hex36840c0

57163968 has 70 divisors (see below), whose sum is σ = 169467276. Its totient is φ = 19052928.

The previous prime is 57163957. The next prime is 57163973. The reversal of 57163968 is 86936175.

It is a happy number.

57163968 is a `hidden beast` number, since 5 + 7 + 1 + 639 + 6 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 330 + ... + 10697.

Almost surely, 257163968 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 57163968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84733638).

57163968 is an abundant number, since it is smaller than the sum of its proper divisors (112303308).

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

57163968 is a wasteful number, since it uses less digits than its factorization.

57163968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11051 (or 11032 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 57163968 is about 7560.6856831904. The cubic root of 57163968 is about 385.2187838396.

It can be divided in two parts, 57 and 163968, that added together give a square (164025 = 4052).

The spelling of 57163968 in words is "fifty-seven million, one hundred sixty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 11027 22054 33081 44108 66162 88216 99243 132324 176432 198486 264648 297729 352864 396972 529296 595458 705728 793944 893187 1058592 1190916 1587888 1786374 2117184 2381832 3175776 3572748 4763664 6351552 7145496 9527328 14290992 19054656 28581984 57163968