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57073986 = 23219433881
BaseRepresentation
bin1101100110111…
…0000101000010
310222101122210100
43121232011002
5104102331421
65355143230
71262056314
oct331560502
9128348710
1057073986
112a242592
1217144b16
13ba941b8
1478197b4
155025c26
hex366e142

57073986 has 48 divisors (see below), whose sum is σ = 133230240. Its totient is φ = 17599680.

The previous prime is 57073937. The next prime is 57073993. The reversal of 57073986 is 68937075.

It is a happy number.

57073986 is a `hidden beast` number, since 570 + 73 + 9 + 8 + 6 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12766 + ... + 16646.

It is an arithmetic number, because the mean of its divisors is an integer number (2775630).

Almost surely, 257073986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57073986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66615120).

57073986 is an abundant number, since it is smaller than the sum of its proper divisors (76156254).

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

57073986 is a wasteful number, since it uses less digits than its factorization.

57073986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3951 (or 3948 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 57073986 is about 7554.7326888514. The cubic root of 57073986 is about 385.0165529511.

The spelling of 57073986 in words is "fifty-seven million, seventy-three thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 18 19 38 43 57 86 114 129 171 258 342 387 774 817 1634 2451 3881 4902 7353 7762 11643 14706 23286 34929 69858 73739 147478 166883 221217 333766 442434 500649 663651 1001298 1327302 1501947 3003894 3170777 6341554 9512331 19024662 28536993 57073986