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95268 = 22317467
BaseRepresentation
bin10111010000100100
311211200110
4113100210
511022033
62013020
7544515
oct272044
9154613
1095268
1165638
1247170
1334494
1426a0c
151d363
hex17424

95268 has 24 divisors (see below), whose sum is σ = 235872. Its totient is φ = 29824.

The previous prime is 95267. The next prime is 95273. The reversal of 95268 is 86259.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (95261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30 + ... + 437.

It is an arithmetic number, because the mean of its divisors is an integer number (9828).

295268 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 95268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117936).

95268 is an abundant number, since it is smaller than the sum of its proper divisors (140604).

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

95268 is a wasteful number, since it uses less digits than its factorization.

95268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 489 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 95268 is about 308.6551473732. The cubic root of 95268 is about 45.6718933640.

Subtracting from 95268 its reverse (86259), we obtain a palindrome (9009).

It can be divided in two parts, 95 and 268, that added together give a palindrome (363).

The spelling of 95268 in words is "ninety-five thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 467 934 1401 1868 2802 5604 7939 15878 23817 31756 47634 95268