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56832480 = 2532561647
BaseRepresentation
bin1101100011001…
…1000111100000
310221221101111200
43120303013200
5104022114410
65350041200
71260032235
oct330630740
9127841450
1056832480
112a0980a1
1217049200
13ba0b2b3
14779578c
154ec93c0
hex36331e0

56832480 has 144 divisors (see below), whose sum is σ = 197424864. Its totient is φ = 14883840.

The previous prime is 56832473. The next prime is 56832493. The reversal of 56832480 is 8423865.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87517 + ... + 88163.

It is an arithmetic number, because the mean of its divisors is an integer number (1371006).

Almost surely, 256832480 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 56832480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98712432).

56832480 is an abundant number, since it is smaller than the sum of its proper divisors (140592384).

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

56832480 is a wasteful number, since it uses less digits than its factorization.

56832480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 56832480 is about 7538.7319888692. The cubic root of 56832480 is about 384.4727251023.

The spelling of 56832480 in words is "fifty-six million, eight hundred thirty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 61 72 80 90 96 120 122 144 160 180 183 240 244 288 305 360 366 480 488 549 610 647 720 732 915 976 1098 1220 1294 1440 1464 1830 1941 1952 2196 2440 2588 2745 2928 3235 3660 3882 4392 4880 5176 5490 5823 5856 6470 7320 7764 8784 9705 9760 10352 10980 11646 12940 14640 15528 17568 19410 20704 21960 23292 25880 29115 29280 31056 38820 39467 43920 46584 51760 58230 62112 77640 78934 87840 93168 103520 116460 118401 155280 157868 186336 197335 232920 236802 310560 315736 355203 394670 465840 473604 592005 631472 710406 789340 931680 947208 1184010 1262944 1420812 1578680 1776015 1894416 2368020 2841624 3157360 3552030 3788832 4736040 5683248 6314720 7104060 9472080 11366496 14208120 18944160 28416240 56832480