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57790464 = 21234703
BaseRepresentation
bin1101110001110…
…1000000000000
311000202001121120
43130131000000
5104243243324
65422352240
71301132214
oct334350000
9130661546
1057790464
112a691916
121742b680
13bc85354
147964944
155118179
hex371d000

57790464 has 52 divisors (see below), whose sum is σ = 154121856. Its totient is φ = 19259392.

The previous prime is 57790433. The next prime is 57790471. The reversal of 57790464 is 46409775.

57790464 = 25302 + 25312 + ... + 25382.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9937 + ... + 14639.

Almost surely, 257790464 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 57790464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77060928).

57790464 is an abundant number, since it is smaller than the sum of its proper divisors (96331392).

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

57790464 is an equidigital number, since it uses as much as digits as its factorization.

57790464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4730 (or 4708 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 57790464 is about 7602.0039463289. The cubic root of 57790464 is about 386.6209590574.

The spelling of 57790464 in words is "fifty-seven million, seven hundred ninety thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 4703 6144 9406 12288 14109 18812 28218 37624 56436 75248 112872 150496 225744 300992 451488 601984 902976 1203968 1805952 2407936 3611904 4815872 7223808 9631744 14447616 19263488 28895232 57790464