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56261790 = 2355132137
BaseRepresentation
bin1101011010011…
…1110010011110
310220212101200000
43112213302132
5103400334130
65325515130
71252134354
oct326476236
9126771600
1056261790
1129838352
1216a12aa6
13b86b600
1476877d4
154e15260
hex35a7c9e

56261790 has 144 divisors (see below), whose sum is σ = 165464208. Its totient is φ = 13747968.

The previous prime is 56261771. The next prime is 56261791. The reversal of 56261790 is 9716265.

56261790 is a `hidden beast` number, since 562 + 6 + 1 + 7 + 90 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56261791) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 410602 + ... + 410738.

It is an arithmetic number, because the mean of its divisors is an integer number (1149057).

Almost surely, 256261790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56261790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82732104).

56261790 is an abundant number, since it is smaller than the sum of its proper divisors (109202418).

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

56261790 is a wasteful number, since it uses less digits than its factorization.

56261790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 56261790 is about 7500.7859588179. The cubic root of 56261790 is about 383.1814840695.

The spelling of 56261790 in words is "fifty-six million, two hundred sixty-one thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 137 162 169 195 234 243 270 274 338 351 390 405 411 486 507 585 685 702 810 822 845 1014 1053 1170 1215 1233 1370 1521 1690 1755 1781 2055 2106 2430 2466 2535 3042 3159 3510 3562 3699 4110 4563 5070 5265 5343 6165 6318 7398 7605 8905 9126 10530 10686 11097 12330 13689 15210 15795 16029 17810 18495 22194 22815 23153 26715 27378 31590 32058 33291 36990 41067 45630 46306 48087 53430 55485 66582 68445 69459 80145 82134 96174 110970 115765 136890 138918 144261 160290 166455 205335 208377 231530 240435 288522 332910 347295 410670 416754 432783 480870 625131 694590 721305 865566 1041885 1250262 1442610 1875393 2083770 2163915 3125655 3750786 4327830 5626179 6251310 9376965 11252358 18753930 28130895 56261790