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56193852 = 223112132229
BaseRepresentation
bin1101011001011…
…1001100111100
310220201221110210
43112113030330
5103341200402
65324232420
71251432321
oct326271474
9126657423
1056193852
11297a1300
121699b710
13b846700
14766ab48
154e0006c
hex359733c

56193852 has 108 divisors (see below), whose sum is σ = 156743160. Its totient is φ = 15649920.

The previous prime is 56193827. The next prime is 56193859. The reversal of 56193852 is 25839165.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 56193852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56193859) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 245274 + ... + 245502.

Almost surely, 256193852 is an apocalyptic number.

56193852 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 56193852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78371580).

56193852 is an abundant number, since it is smaller than the sum of its proper divisors (100549308).

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

56193852 is a wasteful number, since it uses less digits than its factorization.

56193852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 258 counting only the distinct ones).

The product of its digits is 64800, while the sum is 39.

The square root of 56193852 is about 7496.2558654304. The cubic root of 56193852 is about 383.0271871118.

The spelling of 56193852 in words is "fifty-six million, one hundred ninety-three thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 121 132 143 156 169 229 242 286 338 363 429 458 484 507 572 676 687 726 858 916 1014 1374 1452 1573 1716 1859 2028 2519 2748 2977 3146 3718 4719 5038 5577 5954 6292 7436 7557 8931 9438 10076 11154 11908 15114 17862 18876 20449 22308 27709 30228 32747 35724 38701 40898 55418 61347 65494 77402 81796 83127 98241 110836 116103 122694 130988 154804 166254 196482 232206 245388 332508 360217 392964 425711 464412 720434 851422 1080651 1277133 1440868 1702844 2161302 2554266 4322604 4682821 5108532 9365642 14048463 18731284 28096926 56193852