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95088 = 2437283
BaseRepresentation
bin10111001101110000
311211102210
4113031300
511020323
62012120
7544140
oct271560
9154383
1095088
1165494
1247040
1334386
1426920
151d293
hex17370

95088 has 40 divisors (see below), whose sum is σ = 281728. Its totient is φ = 27072.

The previous prime is 95087. The next prime is 95089. The reversal of 95088 is 88059.

It is an interprime number because it is at equal distance from previous prime (95087) and next prime (95089).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 95088.

It is not an unprimeable number, because it can be changed into a prime (95083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 195 + ... + 477.

295088 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 95088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140864).

95088 is an abundant number, since it is smaller than the sum of its proper divisors (186640).

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

95088 is a wasteful number, since it uses less digits than its factorization.

95088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 95088 is about 308.3634219553. The cubic root of 95088 is about 45.6431109684.

The spelling of 95088 in words is "ninety-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 283 336 566 849 1132 1698 1981 2264 3396 3962 4528 5943 6792 7924 11886 13584 15848 23772 31696 47544 95088