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57020652 = 223313172389
BaseRepresentation
bin1101100110000…
…1000011101100
310222021221122000
43121201003230
5104044130102
65354052300
71261444653
oct331410354
9128257560
1057020652
112a206507
121711a090
13ba75b40
14780419a
15501501c
hex36610ec

57020652 has 96 divisors (see below), whose sum is σ = 168638400. Its totient is φ = 16505856.

The previous prime is 57020603. The next prime is 57020659. The reversal of 57020652 is 25602075.

57020652 is a `hidden beast` number, since 5 + 7 + 0 + 2 + 0 + 652 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (57020659) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22674 + ... + 25062.

It is an arithmetic number, because the mean of its divisors is an integer number (1756650).

Almost surely, 257020652 is an apocalyptic number.

57020652 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57020652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84319200).

57020652 is an abundant number, since it is smaller than the sum of its proper divisors (111617748).

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

57020652 is a wasteful number, since it uses less digits than its factorization.

57020652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432 (or 2424 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 57020652 is about 7551.2020235192. The cubic root of 57020652 is about 384.8965866063.

The spelling of 57020652 in words is "fifty-seven million, twenty thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 27 34 36 39 51 52 54 68 78 102 108 117 153 156 204 221 234 306 351 442 459 468 612 663 702 884 918 1326 1404 1836 1989 2389 2652 3978 4778 5967 7167 7956 9556 11934 14334 21501 23868 28668 31057 40613 43002 62114 64503 81226 86004 93171 121839 124228 129006 162452 186342 243678 258012 279513 365517 372684 487356 527969 559026 731034 838539 1055938 1096551 1118052 1462068 1583907 1677078 2111876 2193102 3167814 3354156 4386204 4751721 6335628 9503442 14255163 19006884 28510326 57020652