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56288328 = 23347139359
BaseRepresentation
bin1101011010111…
…0010001001000
310220220202001220
43112232101020
5103402211303
65330242040
71252304625
oct326562110
9126822056
1056288328
1129856288
1216a26320
13b87a705
14769334c
154e1d053
hex35ae448

56288328 has 64 divisors (see below), whose sum is σ = 145152000. Its totient is φ = 18180672.

The previous prime is 56288327. The next prime is 56288347. The reversal of 56288328 is 82388265.

It is a self number, because there is not a number n which added to its sum of digits gives 56288328.

It is not an unprimeable number, because it can be changed into a prime (56288327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156613 + ... + 156971.

It is an arithmetic number, because the mean of its divisors is an integer number (2268000).

Almost surely, 256288328 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 56288328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72576000).

56288328 is an abundant number, since it is smaller than the sum of its proper divisors (88863672).

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

56288328 is a wasteful number, since it uses less digits than its factorization.

56288328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 550 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 56288328 is about 7502.5547648784. The cubic root of 56288328 is about 383.2417219432.

It can be divided in two parts, 56288 and 328, that added together give a triangular number (56616 = T336).

The spelling of 56288328 in words is "fifty-six million, two hundred eighty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 47 94 139 141 188 278 282 359 376 417 556 564 718 834 1077 1112 1128 1436 1668 2154 2872 3336 4308 6533 8616 13066 16873 19599 26132 33746 39198 49901 50619 52264 67492 78396 99802 101238 134984 149703 156792 199604 202476 299406 399208 404952 598812 1197624 2345347 4690694 7036041 9381388 14072082 18762776 28144164 56288328