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56271312 = 243219131157
BaseRepresentation
bin1101011010101…
…0000111010000
310220212212201200
43112222013100
5103401140222
65330031200
71252204206
oct326520720
9126785650
1056271312
1129844519
1216a18500
13b872a46
14768b076
154e17eac
hex35aa1d0

56271312 has 120 divisors (see below), whose sum is σ = 168099360. Its totient is φ = 17521920.

The previous prime is 56271307. The next prime is 56271337. The reversal of 56271312 is 21317265.

It is a happy number.

56271312 is a `hidden beast` number, since 5 + 627 + 1 + 31 + 2 = 666.

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, 358338 + ... + 358494.

It is an arithmetic number, because the mean of its divisors is an integer number (1400828).

Almost surely, 256271312 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 56271312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84049680).

56271312 is an abundant number, since it is smaller than the sum of its proper divisors (111828048).

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

56271312 is a wasteful number, since it uses less digits than its factorization.

56271312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 312 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 56271312 is about 7501.4206654473. The cubic root of 56271312 is about 383.2030999730.

Adding to 56271312 its reverse (21317265), we get a palindrome (77588577).

The spelling of 56271312 in words is "fifty-six million, two hundred seventy-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 131 144 152 157 171 228 262 304 314 342 393 456 471 524 628 684 786 912 942 1048 1179 1256 1368 1413 1572 1884 2096 2358 2489 2512 2736 2826 2983 3144 3768 4716 4978 5652 5966 6288 7467 7536 8949 9432 9956 11304 11932 14934 17898 18864 19912 20567 22401 22608 23864 26847 29868 35796 39824 41134 44802 47728 53694 59736 61701 71592 82268 89604 107388 119472 123402 143184 164536 179208 185103 214776 246804 329072 358416 370206 390773 429552 493608 740412 781546 987216 1172319 1480824 1563092 2344638 2961648 3126184 3516957 4689276 6252368 7033914 9378552 14067828 18757104 28135656 56271312