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95256 = 233572
BaseRepresentation
bin10111010000011000
311211200000
4113100120
511022011
62013000
7544500
oct272030
9154600
1095256
1165627
1247160
1334485
1426a00
151d356
hex17418

95256 has 72 divisors (see below), whose sum is σ = 311220. Its totient is φ = 27216.

The previous prime is 95239. The next prime is 95257. The reversal of 95256 is 65259.

It can be divided in two parts, 95 and 256, that added together give a triangular number (351 = T26).

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

95256 is nontrivially palindromic in base 5.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2700) is a multiple of the sum of its prime divisors (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95257) by changing a digit.

95256 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 17 ways as a sum of consecutive naturals, for example, 13605 + ... + 13611.

295256 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 95256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155610).

95256 is an abundant number, since it is smaller than the sum of its proper divisors (215964).

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

95256 is a wasteful number, since it uses less digits than its factorization.

95256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35 (or 12 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 95256 is about 308.6357075907. The cubic root of 95256 is about 45.6699756661.

The spelling of 95256 in words is "ninety-five thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 243 252 294 324 378 392 441 486 504 567 588 648 756 882 972 1134 1176 1323 1512 1701 1764 1944 2268 2646 3402 3528 3969 4536 5292 6804 7938 10584 11907 13608 15876 23814 31752 47628 95256