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57485740 = 22513239613
BaseRepresentation
bin1101101101001…
…0100110101100
311000011120121111
43123102212230
5104204020430
65412041404
71265422624
oct333224654
9130146544
1057485740
112a4a3984
1217303264
13bba9740
1478c5884
1550a7c2a
hex36d29ac

57485740 has 48 divisors (see below), whose sum is σ = 135672768. Its totient is φ = 20300544.

The previous prime is 57485737. The next prime is 57485759. The reversal of 57485740 is 4758475.

It is a super-2 number, since 2×574857402 = 6609220606695200, which contains 22 as substring.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 57485693 and 57485702.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1174 + ... + 10786.

It is an arithmetic number, because the mean of its divisors is an integer number (2826516).

Almost surely, 257485740 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 57485740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67836384).

57485740 is an abundant number, since it is smaller than the sum of its proper divisors (78187028).

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

57485740 is a wasteful number, since it uses less digits than its factorization.

57485740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9658 (or 9656 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 40.

The square root of 57485740 is about 7581.9351091921. The cubic root of 57485740 is about 385.9402218005.

The spelling of 57485740 in words is "fifty-seven million, four hundred eighty-five thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 460 598 1196 1495 2990 5980 9613 19226 38452 48065 96130 124969 192260 221099 249938 442198 499876 624845 884396 1105495 1249690 2210990 2499380 2874287 4421980 5748574 11497148 14371435 28742870 57485740