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88312 = 2371983
BaseRepresentation
bin10101100011111000
311111010211
4111203320
510311222
61520504
7515320
oct254370
9144124
1088312
1160394
1243134
1331273
1424280
151b277
hex158f8

88312 has 32 divisors (see below), whose sum is σ = 201600. Its totient is φ = 35424.

The previous prime is 88301. The next prime is 88321. The reversal of 88312 is 21388.

88312 is nontrivially palindromic in base 12.

It is a congruent number.

It is an unprimeable number.

88312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1023 + ... + 1105.

It is an arithmetic number, because the mean of its divisors is an integer number (6300).

288312 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 88312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100800).

88312 is an abundant number, since it is smaller than the sum of its proper divisors (113288).

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

88312 is a wasteful number, since it uses less digits than its factorization.

88312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 111 counting only the distinct ones).

The product of its digits is 384, while the sum is 22.

The square root of 88312 is about 297.1733500838. The cubic root of 88312 is about 44.5321066112.

It can be divided in two parts, 88 and 312, that added together give a square (400 = 202).

The spelling of 88312 in words is "eighty-eight thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 83 133 152 166 266 332 532 581 664 1064 1162 1577 2324 3154 4648 6308 11039 12616 22078 44156 88312