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56116476 = 2235134441
BaseRepresentation
bin1101011000010…
…0010011111100
310220121000100000
43112010103330
5103331211401
65322434300
71250660613
oct326042374
9126530300
1056116476
1129749159
1216962990
13b81a420
14764a87a
154dd7186
hex35844fc

56116476 has 72 divisors (see below), whose sum is σ = 158455024. Its totient is φ = 17262720.

The previous prime is 56116451. The next prime is 56116477. The reversal of 56116476 is 67461165.

56116476 is a `hidden beast` number, since 5 + 6 + 1 + 1 + 647 + 6 = 666.

56116476 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 56116476.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56116477) 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 23 ways as a sum of consecutive naturals, for example, 10416 + ... + 14856.

Almost surely, 256116476 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 56116476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79227512).

56116476 is an abundant number, since it is smaller than the sum of its proper divisors (102338548).

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

56116476 is a wasteful number, since it uses less digits than its factorization.

56116476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4473 (or 4459 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 56116476 is about 7491.0931111554. The cubic root of 56116476 is about 382.8513035473.

The spelling of 56116476 in words is "fifty-six million, one hundred sixteen thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 702 972 1053 1404 2106 3159 4212 4441 6318 8882 12636 13323 17764 26646 39969 53292 57733 79938 115466 119907 159876 173199 230932 239814 346398 359721 479628 519597 692796 719442 1039194 1079163 1438884 1558791 2078388 2158326 3117582 4316652 4676373 6235164 9352746 14029119 18705492 28058238 56116476