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56751156 = 223271159347
BaseRepresentation
bin1101100001111…
…1010000110100
310221210020221200
43120133100310
5104012014111
65344212500
71256243160
oct330372064
9127706850
1056751156
112a041a90
121700a130
13b9b0287
147773ca0
154eb0256
hex361f434

56751156 has 144 divisors (see below), whose sum is σ = 182407680. Its totient is φ = 14448960.

The previous prime is 56751133. The next prime is 56751161. The reversal of 56751156 is 65115765.

56751156 = T304 + T305 + ... + T716.

56751156 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 56751156.

It is a congruent number.

It is an unprimeable number.

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, 163375 + ... + 163721.

It is an arithmetic number, because the mean of its divisors is an integer number (1266720).

Almost surely, 256751156 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 56751156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91203840).

56751156 is an abundant number, since it is smaller than the sum of its proper divisors (125656524).

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

56751156 is a wasteful number, since it uses less digits than its factorization.

56751156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 429 counting only the distinct ones).

The product of its digits is 31500, while the sum is 36.

The square root of 56751156 is about 7533.3363126838. The cubic root of 56751156 is about 384.2892514651.

The spelling of 56751156 in words is "fifty-six million, seven hundred fifty-one thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 59 63 66 77 84 99 118 126 132 154 177 198 231 236 252 308 347 354 396 413 462 531 649 693 694 708 826 924 1041 1062 1239 1298 1386 1388 1652 1947 2082 2124 2429 2478 2596 2772 3123 3717 3817 3894 4164 4543 4858 4956 5841 6246 7287 7434 7634 7788 9086 9716 11451 11682 12492 13629 14574 14868 15268 18172 20473 21861 22902 23364 26719 27258 29148 34353 40887 40946 43722 45804 53438 54516 61419 68706 80157 81774 81892 87444 106876 122838 137412 143311 160314 163548 184257 225203 240471 245676 286622 320628 368514 429933 450406 480942 573244 675609 737028 859866 900812 961884 1289799 1351218 1576421 1719732 2026827 2579598 2702436 3152842 4053654 4729263 5159196 6305684 8107308 9458526 14187789 18917052 28375578 56751156