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88296 = 23313283
BaseRepresentation
bin10101100011101000
311111010020
4111203220
510311141
61520440
7515265
oct254350
9144106
1088296
116037a
1243120
1331260
142426c
151b266
hex158e8

88296 has 32 divisors (see below), whose sum is σ = 238560. Its totient is φ = 27072.

The previous prime is 88289. The next prime is 88301. The reversal of 88296 is 69288.

88296 is a modest number, since divided by 296 gives 88 as remainder.

It is an unprimeable number.

88296 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, 171 + ... + 453.

It is an arithmetic number, because the mean of its divisors is an integer number (7455).

288296 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 88296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119280).

88296 is an abundant number, since it is smaller than the sum of its proper divisors (150264).

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

88296 is a wasteful number, since it uses less digits than its factorization.

88296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 301 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 88296 is about 297.1464285500. The cubic root of 88296 is about 44.5294170683.

The spelling of 88296 in words is "eighty-eight thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 283 312 566 849 1132 1698 2264 3396 3679 6792 7358 11037 14716 22074 29432 44148 88296