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56544048 = 24331173163
BaseRepresentation
bin1101011110110…
…0101100110000
310221101201212000
43113230230300
5103433402143
65335534000
71254421311
oct327545460
9127351760
1056544048
1129a10420
1216b2a300
13b939c22
14771c608
154e6dbd3
hex35ecb30

56544048 has 160 divisors (see below), whose sum is σ = 180583680. Its totient is φ = 16796160.

The previous prime is 56544041. The next prime is 56544053. The reversal of 56544048 is 84044565.

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

It is not an unprimeable number, because it can be changed into a prime (56544041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 346815 + ... + 346977.

It is an arithmetic number, because the mean of its divisors is an integer number (1128648).

Almost surely, 256544048 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 56544048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90291840).

56544048 is an abundant number, since it is smaller than the sum of its proper divisors (124039632).

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

56544048 is a wasteful number, since it uses less digits than its factorization.

56544048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 56544048 is about 7519.5776477140. The cubic root of 56544048 is about 383.8212058271.

The spelling of 56544048 in words is "fifty-six million, five hundred forty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 73 88 99 108 132 144 146 163 176 198 216 219 264 292 297 326 396 432 438 489 528 584 594 652 657 792 803 876 978 1168 1188 1304 1314 1467 1584 1606 1752 1793 1956 1971 2376 2409 2608 2628 2934 3212 3504 3586 3912 3942 4401 4752 4818 5256 5379 5868 6424 7172 7227 7824 7884 8802 9636 10512 10758 11736 11899 12848 14344 14454 15768 16137 17604 19272 21516 21681 23472 23798 28688 28908 31536 32274 35208 35697 38544 43032 43362 47596 48411 57816 64548 70416 71394 86064 86724 95192 96822 107091 115632 129096 130889 142788 173448 190384 193644 214182 258192 261778 285576 321273 346896 387288 392667 428364 523556 571152 642546 774576 785334 856728 1047112 1178001 1285092 1570668 1713456 2094224 2356002 2570184 3141336 3534003 4712004 5140368 6282672 7068006 9424008 14136012 18848016 28272024 56544048