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56823360 = 2635115381
BaseRepresentation
bin1101100011000…
…0111001000000
310221220220222220
43120300321000
5104021321420
65345531040
71256663526
oct330607100
9127826886
1056823360
112a091260
1217043a80
13ba070b9
147792316
154ec6840
hex3630e40

56823360 has 112 divisors (see below), whose sum is σ = 196852032. Its totient is φ = 13772800.

The previous prime is 56823343. The next prime is 56823397. The reversal of 56823360 is 6332865.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 7870 + ... + 13250.

Almost surely, 256823360 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 56823360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98426016).

56823360 is an abundant number, since it is smaller than the sum of its proper divisors (140028672).

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

56823360 is a wasteful number, since it uses less digits than its factorization.

56823360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5412 (or 5402 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 56823360 is about 7538.1270883423. The cubic root of 56823360 is about 384.4521583487.

The spelling of 56823360 in words is "fifty-six million, eight hundred twenty-three thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 5381 10560 10762 16143 21524 26905 32286 43048 53810 59191 64572 80715 86096 107620 118382 129144 161430 172192 177573 215240 236764 258288 295955 322860 344384 355146 430480 473528 516576 591910 645720 710292 860960 887865 947056 1033152 1183820 1291440 1420584 1721920 1775730 1894112 2367640 2582880 2841168 3551460 3788224 4735280 5165760 5682336 7102920 9470560 11364672 14205840 18941120 28411680 56823360