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57853068 = 223713311709
BaseRepresentation
bin1101110010110…
…0010010001100
311000212020111020
43130230102030
5104302244233
65423554140
71301512560
oct334542214
9130766436
1057853068
112a724959
121745b950
13bca79b0
14797d6a0
15512b9b3
hex372c48c

57853068 has 96 divisors (see below), whose sum is σ = 171601920. Its totient is φ = 14757120.

The previous prime is 57853067. The next prime is 57853069. The reversal of 57853068 is 86035875.

It is an interprime number because it is at equal distance from previous prime (57853067) and next prime (57853069).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (57853063) 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, 32998 + ... + 34706.

It is an arithmetic number, because the mean of its divisors is an integer number (1787520).

Almost surely, 257853068 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 57853068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85800960).

57853068 is an abundant number, since it is smaller than the sum of its proper divisors (113748852).

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

57853068 is a wasteful number, since it uses less digits than its factorization.

57853068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 57853068 is about 7606.1204302851. The cubic root of 57853068 is about 386.7605165905.

The spelling of 57853068 in words is "fifty-seven million, eight hundred fifty-three thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 31 39 42 52 62 78 84 91 93 124 156 182 186 217 273 364 372 403 434 546 651 806 868 1092 1209 1302 1612 1709 2418 2604 2821 3418 4836 5127 5642 6836 8463 10254 11284 11963 16926 20508 22217 23926 33852 35889 44434 47852 52979 66651 71778 88868 105958 133302 143556 155519 158937 211916 266604 311038 317874 370853 466557 622076 635748 688727 741706 933114 1112559 1377454 1483412 1866228 2066181 2225118 2754908 4132362 4450236 4821089 8264724 9642178 14463267 19284356 28926534 57853068