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77361156 = 22341132113
BaseRepresentation
bin1001001110001…
…11000000000100
312101120100120000
410213013000010
5124301024111
611402041300
71626362505
oct447070004
9171510500
1077361156
113a739644
1221aa9230
1313048242
14a3babac
156bd1c56
hex49c7004

77361156 has 60 divisors (see below), whose sum is σ = 204123612. Its totient is φ = 25546752.

The previous prime is 77361149. The next prime is 77361157. The reversal of 77361156 is 65116377.

It can be written as a sum of positive squares in 2 ways, for example, as 518400 + 76842756 = 720^2 + 8766^2 .

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 77361156.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77361157) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35556 + ... + 37668.

Almost surely, 277361156 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 77361156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102061806).

77361156 is an abundant number, since it is smaller than the sum of its proper divisors (126762456).

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

77361156 is a wasteful number, since it uses less digits than its factorization.

77361156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242 (or 2231 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 77361156 is about 8795.5190864440. The cubic root of 77361156 is about 426.0961893484.

The spelling of 77361156 in words is "seventy-seven million, three hundred sixty-one thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 113 162 226 324 339 452 678 1017 1356 2034 2113 3051 4068 4226 6102 6339 8452 9153 12204 12678 18306 19017 25356 36612 38034 57051 76068 114102 171153 228204 238769 342306 477538 684612 716307 955076 1432614 2148921 2865228 4297842 6446763 8595684 12893526 19340289 25787052 38680578 77361156