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57985956 = 2234737691
BaseRepresentation
bin1101110100110…
…0101110100100
311001002222210000
43131030232210
5104321022311
65430501300
71302605160
oct335145644
9131088700
1057985956
112a805786
1217504830
13c023322
1479b5ca0
155156056
hex374cba4

57985956 has 120 divisors (see below), whose sum is σ = 178181696. Its totient is φ = 16096320.

The previous prime is 57985951. The next prime is 57985969. The reversal of 57985956 is 65958975.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57985951) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 83571 + ... + 84261.

Almost surely, 257985956 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 57985956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89090848).

57985956 is an abundant number, since it is smaller than the sum of its proper divisors (120195740).

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

57985956 is a wasteful number, since it uses less digits than its factorization.

57985956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 740 counting only the distinct ones).

The product of its digits is 3402000, while the sum is 54.

The square root of 57985956 is about 7614.8510162708. The cubic root of 57985956 is about 387.0564186720.

The spelling of 57985956 in words is "fifty-seven million, nine hundred eighty-five thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 37 42 54 63 74 81 84 108 111 126 148 162 189 222 252 259 324 333 378 444 518 567 666 691 756 777 999 1036 1134 1332 1382 1554 1998 2073 2268 2331 2764 2997 3108 3996 4146 4662 4837 5994 6219 6993 8292 9324 9674 11988 12438 13986 14511 18657 19348 20979 24876 25567 27972 29022 37314 41958 43533 51134 55971 58044 74628 76701 83916 87066 102268 111942 130599 153402 174132 178969 223884 230103 261198 306804 357938 391797 460206 522396 536907 690309 715876 783594 920412 1073814 1380618 1567188 1610721 2070927 2147628 2761236 3221442 4141854 4832163 6442884 8283708 9664326 14496489 19328652 28992978 57985956