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95312 = 2472337
BaseRepresentation
bin10111010001010000
311211202002
4113101100
511022222
62013132
7544610
oct272120
9154662
1095312
1165678
12471a8
13344c9
1426a40
151d392
hex17450

95312 has 40 divisors (see below), whose sum is σ = 226176. Its totient is φ = 38016.

The previous prime is 95311. The next prime is 95317. The reversal of 95312 is 21359.

95312 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95311) 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, 2558 + ... + 2594.

295312 is an apocalyptic number.

95312 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113088).

95312 is an abundant number, since it is smaller than the sum of its proper divisors (130864).

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

95312 is a wasteful number, since it uses less digits than its factorization.

95312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 69 counting only the distinct ones).

The product of its digits is 270, while the sum is 20.

The square root of 95312 is about 308.7264161033. The cubic root of 95312 is about 45.6789235456.

The spelling of 95312 in words is "ninety-five thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 23 28 37 46 56 74 92 112 148 161 184 259 296 322 368 518 592 644 851 1036 1288 1702 2072 2576 3404 4144 5957 6808 11914 13616 23828 47656 95312