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95456 = 2519157
BaseRepresentation
bin10111010011100000
311211221102
4113103200
511023311
62013532
7545204
oct272340
9154842
1095456
1165799
12472a8
13345aa
1426b04
151d43b
hex174e0

95456 has 24 divisors (see below), whose sum is σ = 199080. Its totient is φ = 44928.

The previous prime is 95443. The next prime is 95461. The reversal of 95456 is 65459.

It is a super-2 number, since 2×954562 = 18223695872, which contains 22 as substring.

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 530 + ... + 686.

It is an arithmetic number, because the mean of its divisors is an integer number (8295).

295456 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 95456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99540).

95456 is an abundant number, since it is smaller than the sum of its proper divisors (103624).

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

95456 is a wasteful number, since it uses less digits than its factorization.

95456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 178 counting only the distinct ones).

The product of its digits is 5400, while the sum is 29.

The square root of 95456 is about 308.9595442772. The cubic root of 95456 is about 45.7019162962.

The spelling of 95456 in words is "ninety-five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 19 32 38 76 152 157 304 314 608 628 1256 2512 2983 5024 5966 11932 23864 47728 95456