Search a number
-
+
56166156 = 22332979227
BaseRepresentation
bin1101011001000…
…0011100001100
310220200112111000
43112100130030
5103334304111
65323500300
71251255504
oct326203414
9126615430
1056166156
1129782512
1216987690
13b836c17
147660a04
154de6c56
hex359070c

56166156 has 96 divisors (see below), whose sum is σ = 153216000. Its totient is φ = 17769024.

The previous prime is 56166151. The next prime is 56166163. The reversal of 56166156 is 65166165.

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 56166156.

It is not an unprimeable number, because it can be changed into a prime (56166151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247315 + ... + 247541.

It is an arithmetic number, because the mean of its divisors is an integer number (1596000).

Almost surely, 256166156 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 56166156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76608000).

56166156 is an abundant number, since it is smaller than the sum of its proper divisors (97049844).

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

56166156 is a wasteful number, since it uses less digits than its factorization.

56166156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 340 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 56166156 is about 7494.4083155377. The cubic root of 56166156 is about 382.9642498336.

Subtracting 56166156 from its reverse (65166165), we obtain a palindrome (9000009).

The spelling of 56166156 in words is "fifty-six million, one hundred sixty-six thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 79 87 108 116 158 174 227 237 261 316 348 454 474 522 681 711 783 908 948 1044 1362 1422 1566 2043 2133 2291 2724 2844 3132 4086 4266 4582 6129 6583 6873 8172 8532 9164 12258 13166 13746 17933 19749 20619 24516 26332 27492 35866 39498 41238 53799 59247 61857 71732 78996 82476 107598 118494 123714 161397 177741 215196 236988 247428 322794 355482 484191 520057 645588 710964 968382 1040114 1560171 1936764 2080228 3120342 4680513 6240684 9361026 14041539 18722052 28083078 56166156