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56082240 = 263356491
BaseRepresentation
bin1101010111101…
…1111101000000
310220112021101000
43111323331000
5103324112430
65322012000
71250456034
oct325737500
9126467330
1056082240
1129725465
1216947000
13b807976
14763c1c4
154dcbe60
hex357bf40

56082240 has 112 divisors (see below), whose sum is σ = 197876160. Its totient is φ = 14952960.

The previous prime is 56082223. The next prime is 56082253. The reversal of 56082240 is 4228065.

56082240 is a `hidden beast` number, since 560 + 82 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 5395 + ... + 11885.

Almost surely, 256082240 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 56082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98938080).

56082240 is an abundant number, since it is smaller than the sum of its proper divisors (141793920).

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

56082240 is a wasteful number, since it uses less digits than its factorization.

56082240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6517 (or 6501 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 56082240 is about 7488.8076487516. The cubic root of 56082240 is about 382.7734300207.

The spelling of 56082240 in words is "fifty-six million, eighty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 6491 8640 12982 19473 25964 32455 38946 51928 58419 64910 77892 97365 103856 116838 129820 155784 175257 194730 207712 233676 259640 292095 311568 350514 389460 415424 467352 519280 584190 623136 701028 778920 876285 934704 1038560 1168380 1246272 1402056 1557840 1752570 1869408 2077120 2336760 2804112 3115680 3505140 3738816 4673520 5608224 6231360 7010280 9347040 11216448 14020560 18694080 28041120 56082240