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57674752 = 210151373
BaseRepresentation
bin1101110000000…
…0110000000000
311000112011212221
43130000300000
5104231043002
65420100424
71300140652
oct334006000
9130464787
1057674752
112a612993
1217394714
13bc44795
1479346d2
1550e3c37
hex3700c00

57674752 has 44 divisors (see below), whose sum is σ = 116367856. Its totient is φ = 28569600.

The previous prime is 57674717. The next prime is 57674753. The reversal of 57674752 is 25747675.

It is a junction number, because it is equal to n+sod(n) for n = 57674699 and 57674708.

It is not an unprimeable number, because it can be changed into a prime (57674753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 154438 + ... + 154810.

It is an arithmetic number, because the mean of its divisors is an integer number (2644724).

Almost surely, 257674752 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 57674752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58183928).

57674752 is an abundant number, since it is smaller than the sum of its proper divisors (58693104).

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

57674752 is a wasteful number, since it uses less digits than its factorization.

57674752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 526 counting only the distinct ones).

The product of its digits is 411600, while the sum is 43.

The square root of 57674752 is about 7594.3895080513. The cubic root of 57674752 is about 386.3627470455.

The spelling of 57674752 in words is "fifty-seven million, six hundred seventy-four thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 151 256 302 373 512 604 746 1024 1208 1492 2416 2984 4832 5968 9664 11936 19328 23872 38656 47744 56323 77312 95488 112646 154624 190976 225292 381952 450584 901168 1802336 3604672 7209344 14418688 28837376 57674752