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56772282 = 23721737307
BaseRepresentation
bin1101100010010…
…0011010111010
310221211022221010
43120210122322
5104013203112
65344454350
71256361600
oct330443272
9127738833
1056772282
112a056946
121701a3b6
13b9b9a88
14777b870
154eb663c
hex36246ba

56772282 has 96 divisors (see below), whose sum is σ = 144099648. Its totient is φ = 14805504.

The previous prime is 56772281. The next prime is 56772307. The reversal of 56772282 is 28227765.

56772282 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 56772282.

It is not an unprimeable number, because it can be changed into a prime (56772281) by changing a digit.

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, 184773 + ... + 185079.

It is an arithmetic number, because the mean of its divisors is an integer number (1501038).

Almost surely, 256772282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56772282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72049824).

56772282 is an abundant number, since it is smaller than the sum of its proper divisors (87327366).

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

56772282 is a wasteful number, since it uses less digits than its factorization.

56772282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 373 counting only the distinct ones).

The product of its digits is 94080, while the sum is 39.

The square root of 56772282 is about 7534.7383498035. The cubic root of 56772282 is about 384.3369303032.

The spelling of 56772282 in words is "fifty-six million, seven hundred seventy-two thousand, two hundred eighty-two".

Divisors: 1 2 3 6 7 14 17 21 34 37 42 49 51 74 98 102 111 119 147 222 238 259 294 307 357 518 614 629 714 777 833 921 1258 1554 1666 1813 1842 1887 2149 2499 3626 3774 4298 4403 4998 5219 5439 6447 8806 10438 10878 11359 12894 13209 15043 15657 22718 26418 30086 30821 31314 34077 36533 45129 61642 68154 73066 79513 90258 92463 109599 159026 184926 193103 219198 238539 255731 386206 477078 511462 556591 579309 767193 1113182 1158618 1351721 1534386 1669773 2703442 3339546 4055163 8110326 9462047 18924094 28386141 56772282