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56436198 = 2371327951
BaseRepresentation
bin1101011101001…
…0010111100110
310221012020220120
43113102113212
5103421424243
65333342410
71253462010
oct327222746
9127166816
1056436198
1129947395
1216a97a06
13b8ccb00
1476d11b0
154e4bc83
hex35d25e6

56436198 has 48 divisors (see below), whose sum is σ = 139700736. Its totient is φ = 14882400.

The previous prime is 56436179. The next prime is 56436203. The reversal of 56436198 is 89163465.

It is a Smith number, since the sum of its digits (42) 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 (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3123 + ... + 11073.

It is an arithmetic number, because the mean of its divisors is an integer number (2910432).

Almost surely, 256436198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56436198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69850368).

56436198 is an abundant number, since it is smaller than the sum of its proper divisors (83264538).

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

56436198 is a wasteful number, since it uses less digits than its factorization.

56436198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7989 (or 7976 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 56436198 is about 7512.4029444646. The cubic root of 56436198 is about 383.5770217798.

The spelling of 56436198 in words is "fifty-six million, four hundred thirty-six thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 169 182 273 338 507 546 1014 1183 2366 3549 7098 7951 15902 23853 47706 55657 103363 111314 166971 206726 310089 333942 620178 723541 1343719 1447082 2170623 2687438 4031157 4341246 8062314 9406033 18812066 28218099 56436198