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56080752 = 24371337347
BaseRepresentation
bin1101010111101…
…1100101110000
310220112012022220
43111323211300
5103324041002
65322001040
71250451510
oct325734560
9126465286
1056080752
1129724332
1216946180
13b8070a0
14763b840
154dcb7bc
hex357b970

56080752 has 160 divisors (see below), whose sum is σ = 183654912. Its totient is φ = 14349312.

The previous prime is 56080747. The next prime is 56080753. The reversal of 56080752 is 25708065.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56080753) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161443 + ... + 161789.

Almost surely, 256080752 is an apocalyptic number.

56080752 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56080752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91827456).

56080752 is an abundant number, since it is smaller than the sum of its proper divisors (127574160).

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

56080752 is a wasteful number, since it uses less digits than its factorization.

56080752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 56080752 is about 7488.7082998338. The cubic root of 56080752 is about 382.7700446834.

The spelling of 56080752 in words is "fifty-six million, eighty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 37 39 42 48 52 56 74 78 84 91 104 111 112 148 156 168 182 208 222 259 273 296 312 336 347 364 444 481 518 546 592 624 694 728 777 888 962 1036 1041 1092 1388 1443 1456 1554 1776 1924 2072 2082 2184 2429 2776 2886 3108 3367 3848 4144 4164 4368 4511 4858 5552 5772 6216 6734 7287 7696 8328 9022 9716 10101 11544 12432 12839 13468 13533 14574 16656 18044 19432 20202 23088 25678 26936 27066 29148 31577 36088 38517 38864 40404 51356 53872 54132 58296 63154 72176 77034 80808 89873 94731 102712 108264 116592 126308 154068 161616 166907 179746 189462 205424 216528 252616 269619 308136 333814 359492 378924 500721 505232 539238 616272 667628 718984 757848 1001442 1078476 1168349 1335256 1437968 1515696 2002884 2156952 2336698 2670512 3505047 4005768 4313904 4673396 7010094 8011536 9346792 14020188 18693584 28040376 56080752