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56932416 = 263347701
BaseRepresentation
bin1101100100101…
…1100001000000
310222010110121000
43121023201000
5104033314131
65352132000
71260626502
oct331134100
9128113530
1056932416
112a156192
1217097000
13ba44928
1477bdd72
154ee8ce6
hex364b840

56932416 has 112 divisors (see below), whose sum is σ = 171175680. Its totient is φ = 18547200.

The previous prime is 56932363. The next prime is 56932457. The reversal of 56932416 is 61423965.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 80866 + ... + 81566.

Almost surely, 256932416 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 56932416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85587840).

56932416 is an abundant number, since it is smaller than the sum of its proper divisors (114243264).

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

56932416 is a wasteful number, since it uses less digits than its factorization.

56932416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 753 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 56932416 is about 7545.3572480036. The cubic root of 56932416 is about 384.6979494049.

The spelling of 56932416 in words is "fifty-six million, nine hundred thirty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 94 96 108 141 144 188 192 216 282 288 376 423 432 564 576 701 752 846 864 1128 1269 1402 1504 1692 1728 2103 2256 2538 2804 3008 3384 4206 4512 5076 5608 6309 6768 8412 9024 10152 11216 12618 13536 16824 18927 20304 22432 25236 27072 32947 33648 37854 40608 44864 50472 65894 67296 75708 81216 98841 100944 131788 134592 151416 197682 201888 263576 296523 302832 395364 403776 527152 593046 605664 790728 889569 1054304 1186092 1211328 1581456 1779138 2108608 2372184 3162912 3558276 4744368 6325824 7116552 9488736 14233104 18977472 28466208 56932416