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56855040 = 293511673
BaseRepresentation
bin1101100011100…
…0101000000000
310221222112110020
43120320220000
5104023330130
65350333440
71260155064
oct330705000
9127875406
1056855040
112a103040
121705a280
13ba18648
14779daa4
154ed0e10
hex3638a00

56855040 has 160 divisors (see below), whose sum is σ = 198576576. Its totient is φ = 13762560.

The previous prime is 56854999. The next prime is 56855047. The reversal of 56855040 is 4055865.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a junction number, because it is equal to n+sod(n) for n = 56854992 and 56855010.

It is not an unprimeable number, because it can be changed into a prime (56855047) 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, 84144 + ... + 84816.

Almost surely, 256855040 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 56855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99288288).

56855040 is an abundant number, since it is smaller than the sum of its proper divisors (141721536).

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

56855040 is a wasteful number, since it uses less digits than its factorization.

56855040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 56855040 is about 7540.2281132602. The cubic root of 56855040 is about 384.5235913044.

The spelling of 56855040 in words is "fifty-six million, eight hundred fifty-five thousand, forty".

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 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 512 528 640 660 673 704 768 880 960 1056 1280 1320 1346 1408 1536 1760 1920 2019 2112 2560 2640 2692 2816 3365 3520 3840 4038 4224 5280 5384 5632 6730 7040 7403 7680 8076 8448 10095 10560 10768 13460 14080 14806 16152 16896 20190 21120 21536 22209 26920 28160 29612 32304 37015 40380 42240 43072 44418 53840 59224 64608 74030 80760 84480 86144 88836 107680 111045 118448 129216 148060 161520 172288 177672 215360 222090 236896 258432 296120 323040 344576 355344 430720 444180 473792 516864 592240 646080 710688 861440 888360 947584 1033728 1184480 1292160 1421376 1722880 1776720 1895168 2368960 2584320 2842752 3553440 3790336 4737920 5168640 5685504 7106880 9475840 11371008 14213760 18951680 28427520 56855040