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56059440 = 24353759107
BaseRepresentation
bin1101010111011…
…0011000110000
310220111010002120
43111312120300
5103322400230
65321314240
71250332413
oct325663060
9126433076
1056059440
112970a318
1216935980
13b7ca488
147633b7a
154dc5310
hex3576630

56059440 has 160 divisors (see below), whose sum is σ = 183202560. Its totient is φ = 14164992.

The previous prime is 56059417. The next prime is 56059447. The reversal of 56059440 is 4495065.

56059440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×560594402 = 6285321626227200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56059447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 523867 + ... + 523973.

It is an arithmetic number, because the mean of its divisors is an integer number (1145016).

Almost surely, 256059440 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 56059440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91601280).

56059440 is an abundant number, since it is smaller than the sum of its proper divisors (127143120).

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

56059440 is a wasteful number, since it uses less digits than its factorization.

56059440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 56059440 is about 7487.2852222952. The cubic root of 56059440 is about 382.7215513443.

The spelling of 56059440 in words is "fifty-six million, fifty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 59 60 74 80 107 111 118 120 148 177 185 214 222 236 240 295 296 321 354 370 428 444 472 535 555 590 592 642 708 740 856 885 888 944 1070 1110 1180 1284 1416 1480 1605 1712 1770 1776 2140 2183 2220 2360 2568 2832 2960 3210 3540 3959 4280 4366 4440 4720 5136 6313 6420 6549 7080 7918 8560 8732 8880 10915 11877 12626 12840 13098 14160 15836 17464 18939 19795 21830 23754 25252 25680 26196 31565 31672 32745 34928 37878 39590 43660 47508 50504 52392 59385 63130 63344 65490 75756 79180 87320 94695 95016 101008 104784 118770 126260 130980 151512 158360 174640 189390 190032 233581 237540 252520 261960 303024 316720 378780 467162 475080 505040 523920 700743 757560 934324 950160 1167905 1401486 1515120 1868648 2335810 2802972 3503715 3737296 4671620 5605944 7007430 9343240 11211888 14014860 18686480 28029720 56059440