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57715968 = 283223337
BaseRepresentation
bin1101110000101…
…0110100000000
311000121021102110
43130022310000
5104233402333
65421015320
71300402062
oct334126400
9130537373
1057715968
112a640952
12173b4540
13bc5a47b
147945732
155101063
hex370ad00

57715968 has 72 divisors (see below), whose sum is σ = 154755328. Its totient is φ = 19095552.

The previous prime is 57715963. The next prime is 57715979. The reversal of 57715968 is 86951775.

It is a super-2 number, since 2×577159682 = 6662265924354048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57715961) 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, 171096 + ... + 171432.

Almost surely, 257715968 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 57715968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77377664).

57715968 is an abundant number, since it is smaller than the sum of its proper divisors (97039360).

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

57715968 is a wasteful number, since it uses less digits than its factorization.

57715968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 565 counting only the distinct ones).

The product of its digits is 529200, while the sum is 48.

The square root of 57715968 is about 7597.1026055991. The cubic root of 57715968 is about 386.4547603593.

The spelling of 57715968 in words is "fifty-seven million, seven hundred fifteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 223 256 337 384 446 669 674 768 892 1011 1338 1348 1784 2022 2676 2696 3568 4044 5352 5392 7136 8088 10704 10784 14272 16176 21408 21568 28544 32352 42816 43136 57088 64704 75151 85632 86272 129408 150302 171264 225453 258816 300604 450906 601208 901812 1202416 1803624 2404832 3607248 4809664 7214496 9619328 14428992 19238656 28857984 57715968