Search a number
-
+
95264 = 2513229
BaseRepresentation
bin10111010000100000
311211200022
4113100200
511022024
62013012
7544511
oct272040
9154608
1095264
1165634
1247168
1334490
1426a08
151d35e
hex17420

95264 has 24 divisors (see below), whose sum is σ = 202860. Its totient is φ = 43776.

The previous prime is 95261. The next prime is 95267. The reversal of 95264 is 46259.

95264 = T5 + T6 + ... + T82.

It is an interprime number because it is at equal distance from previous prime (95261) and next prime (95267).

It can be written as a sum of positive squares in 2 ways, for example, as 94864 + 400 = 308^2 + 20^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an Ulam number.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 302 + ... + 530.

295264 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 95264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101430).

95264 is an abundant number, since it is smaller than the sum of its proper divisors (107596).

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

95264 is a wasteful number, since it uses less digits than its factorization.

95264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 244 counting only the distinct ones).

The product of its digits is 2160, while the sum is 26.

The square root of 95264 is about 308.6486675818. The cubic root of 95264 is about 45.6712541493.

The spelling of 95264 in words is "ninety-five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 229 416 458 916 1832 2977 3664 5954 7328 11908 23816 47632 95264