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57720576 = 283174421
BaseRepresentation
bin1101110000101…
…1111100000000
311000121111202010
43130023330000
5104234024301
65421052520
71300421364
oct334137400
9130544663
1057720576
112a644361
12173b7140
13bc5c5b4
1479472a4
1551025d6
hex370bf00

57720576 has 72 divisors (see below), whose sum is σ = 162694224. Its totient is φ = 18104320.

The previous prime is 57720571. The next prime is 57720581. The reversal of 57720576 is 67502775.

It is an interprime number because it is at equal distance from previous prime (57720571) and next prime (57720581).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57720571) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10846 + ... + 15266.

It is an arithmetic number, because the mean of its divisors is an integer number (2259642).

Almost surely, 257720576 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 57720576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81347112).

57720576 is an abundant number, since it is smaller than the sum of its proper divisors (104973648).

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

57720576 is a wasteful number, since it uses less digits than its factorization.

57720576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4457 (or 4443 counting only the distinct ones).

The product of its (nonzero) digits is 102900, while the sum is 39.

The square root of 57720576 is about 7597.4058730596. The cubic root of 57720576 is about 386.4650448392.

The spelling of 57720576 in words is "fifty-seven million, seven hundred twenty thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 544 768 816 1088 1632 2176 3264 4352 4421 6528 8842 13056 13263 17684 26526 35368 53052 70736 75157 106104 141472 150314 212208 225471 282944 300628 424416 450942 565888 601256 848832 901884 1131776 1202512 1697664 1803768 2405024 3395328 3607536 4810048 7215072 9620096 14430144 19240192 28860288 57720576