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56022516 = 22341121429
BaseRepresentation
bin1101010110110…
…1010111110100
310220102020110000
43111231113310
5103320210031
65320431300
71250116644
oct325552764
9126366400
1056022516
1129694600
1216918530
13b7b6724
147624524
154db93e6
hex356d5f4

56022516 has 90 divisors (see below), whose sum is σ = 161090930. Its totient is φ = 16964640.

The previous prime is 56022509. The next prime is 56022517. The reversal of 56022516 is 61522065.

56022516 is a `hidden beast` number, since 5 + 602 + 2 + 51 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35283600 + 20738916 = 5940^2 + 4554^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 56022516.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56022517) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 38490 + ... + 39918.

Almost surely, 256022516 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 56022516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80545465).

56022516 is an abundant number, since it is smaller than the sum of its proper divisors (105068414).

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

56022516 is a wasteful number, since it uses less digits than its factorization.

56022516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1467 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 56022516 is about 7484.8190358886. The cubic root of 56022516 is about 382.6375053487.

It can be divided in two parts, 5602 and 2516, that added together give a palindrome (8118).

The spelling of 56022516 in words is "fifty-six million, twenty-two thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 297 324 363 396 484 594 726 891 1089 1188 1429 1452 1782 2178 2858 3267 3564 4287 4356 5716 6534 8574 9801 12861 13068 15719 17148 19602 25722 31438 38583 39204 47157 51444 62876 77166 94314 115749 141471 154332 172909 188628 231498 282942 345818 424413 462996 518727 565884 691636 848826 1037454 1273239 1556181 1697652 2074908 2546478 3112362 4668543 5092956 6224724 9337086 14005629 18674172 28011258 56022516