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56331540 = 223251741449
BaseRepresentation
bin1101011011100…
…0110100010100
310220222221100100
43112320310110
5103410102130
65331214100
71252544616
oct326706424
9126887310
1056331540
11298857a1
1216a47330
13b894295
1476a4db6
154e2ac60
hex35b8d14

56331540 has 144 divisors (see below), whose sum is σ = 185749200. Its totient is φ = 13762560.

The previous prime is 56331533. The next prime is 56331547. The reversal of 56331540 is 4513365.

56331540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56331533) and next prime (56331547).

It can be written as a sum of positive squares in 8 ways, for example, as 1245456 + 55086084 = 1116^2 + 7422^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56331547) 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 47 ways as a sum of consecutive naturals, for example, 125236 + ... + 125684.

It is an arithmetic number, because the mean of its divisors is an integer number (1289925).

Almost surely, 256331540 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 56331540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92874600).

56331540 is an abundant number, since it is smaller than the sum of its proper divisors (129417660).

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

56331540 is a wasteful number, since it uses less digits than its factorization.

56331540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 56331540 is about 7505.4340314202. The cubic root of 56331540 is about 383.3397671678.

The spelling of 56331540 in words is "fifty-six million, three hundred thirty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 41 45 51 60 68 82 85 90 102 123 153 164 170 180 204 205 246 255 306 340 369 410 449 492 510 612 615 697 738 765 820 898 1020 1230 1347 1394 1476 1530 1796 1845 2091 2245 2460 2694 2788 3060 3485 3690 4041 4182 4490 5388 6273 6735 6970 7380 7633 8082 8364 8980 10455 12546 13470 13940 15266 16164 18409 20205 20910 22899 25092 26940 30532 31365 36818 38165 40410 41820 45798 55227 62730 68697 73636 76330 80820 91596 92045 110454 114495 125460 137394 152660 165681 184090 220908 228990 274788 276135 312953 331362 343485 368180 457980 552270 625906 662724 686970 828405 938859 1104540 1251812 1373940 1564765 1656810 1877718 2816577 3129530 3313620 3755436 4694295 5633154 6259060 9388590 11266308 14082885 18777180 28165770 56331540