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195836768 = 2529281751
BaseRepresentation
bin10111010110000…
…11101101100000
3111122111112112122
423223003231200
5400113234033
631233243412
74565404451
oct1353035540
9448445478
10195836768
11a05aa076
1255703568
133175a35a
141c01b128
15122d5a98
hexbac3b60

195836768 has 48 divisors (see below), whose sum is σ = 400800960. Its totient is φ = 94080000.

The previous prime is 195836723. The next prime is 195836777. The reversal of 195836768 is 867638591.

It is a happy number.

195836768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 260393 + ... + 261143.

It is an arithmetic number, because the mean of its divisors is an integer number (8350020).

Almost surely, 2195836768 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 195836768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200400480).

195836768 is an abundant number, since it is smaller than the sum of its proper divisors (204964192).

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

195836768 is a wasteful number, since it uses less digits than its factorization.

195836768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1063 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 53.

The square root of 195836768 is about 13994.1690714383. The cubic root of 195836768 is about 580.7172735172.

The spelling of 195836768 in words is "one hundred ninety-five million, eight hundred thirty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 29 32 58 116 232 281 464 562 751 928 1124 1502 2248 3004 4496 6008 8149 8992 12016 16298 21779 24032 32596 43558 65192 87116 130384 174232 211031 260768 348464 422062 696928 844124 1688248 3376496 6119899 6752992 12239798 24479596 48959192 97918384 195836768