Search a number
-
+
56191806 = 2351123457
BaseRepresentation
bin1101011001011…
…0101100111110
310220201211200000
43112112230332
5103341114211
65324215130
71251423336
oct326265476
9126654600
1056191806
112979a810
121699a4a6
13b8457b8
14766a0c6
154dee656
hex3596b3e

56191806 has 96 divisors (see below), whose sum is σ = 144039168. Its totient is φ = 16251840.

The previous prime is 56191787. The next prime is 56191813. The reversal of 56191806 is 60819165.

56191806 is a `hidden beast` number, since 561 + 91 + 8 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122730 + ... + 123186.

It is an arithmetic number, because the mean of its divisors is an integer number (1500408).

Almost surely, 256191806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56191806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72019584).

56191806 is an abundant number, since it is smaller than the sum of its proper divisors (87847362).

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

56191806 is a wasteful number, since it uses less digits than its factorization.

56191806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 56191806 is about 7496.1193960609. The cubic root of 56191806 is about 383.0225384233.

The spelling of 56191806 in words is "fifty-six million, one hundred ninety-one thousand, eight hundred six".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 81 99 138 162 198 207 243 253 297 414 457 486 506 594 621 759 891 914 1242 1371 1518 1782 1863 2277 2673 2742 3726 4113 4554 5027 5346 5589 6831 8226 10054 10511 11178 12339 13662 15081 20493 21022 24678 30162 31533 37017 40986 45243 61479 63066 74034 90486 94599 111051 115621 122958 135729 189198 222102 231242 271458 283797 346863 407187 567594 693726 814374 851391 1040589 1221561 1702782 2081178 2443122 2554173 3121767 5108346 6243534 9365301 18730602 28095903 56191806