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56312740 = 225112331359
BaseRepresentation
bin1101011011010…
…0001110100100
310220221222120001
43112310032210
5103404001430
65330551044
71252436041
oct326641644
9126858501
1056312740
1129872660
1216a38484
13b888863
14769c1c8
154e253ca
hex35b43a4

56312740 has 96 divisors (see below), whose sum is σ = 139345920. Its totient is φ = 18902400.

The previous prime is 56312731. The next prime is 56312741. The reversal of 56312740 is 4721365.

56312740 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 2×563127402 = 6342249372615200, which contains 22 as substring.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 56312699 and 56312708.

It is not an unprimeable number, because it can be changed into a prime (56312741) 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, 156681 + ... + 157039.

It is an arithmetic number, because the mean of its divisors is an integer number (1451520).

Almost surely, 256312740 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 56312740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69672960).

56312740 is an abundant number, since it is smaller than the sum of its proper divisors (83033180).

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

56312740 is a wasteful number, since it uses less digits than its factorization.

56312740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 56312740 is about 7504.1815010033. The cubic root of 56312740 is about 383.2971173515.

The spelling of 56312740 in words is "fifty-six million, three hundred twelve thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 31 44 46 55 62 92 110 115 124 155 220 230 253 310 341 359 460 506 620 682 713 718 1012 1265 1364 1426 1436 1705 1795 2530 2852 3410 3565 3590 3949 5060 6820 7130 7180 7843 7898 8257 11129 14260 15686 15796 16514 19745 22258 31372 33028 39215 39490 41285 44516 55645 78430 78980 82570 90827 111290 122419 156860 165140 181654 222580 244838 255967 363308 454135 489676 511934 612095 908270 1023868 1224190 1279835 1816540 2448380 2559670 2815637 5119340 5631274 11262548 14078185 28156370 56312740