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88248 = 2333677
BaseRepresentation
bin10101100010111000
311111001110
4111202320
510310443
61520320
7515166
oct254270
9144043
1088248
1160336
12430a0
1331224
1424236
151b233
hex158b8

88248 has 16 divisors (see below), whose sum is σ = 220680. Its totient is φ = 29408.

The previous prime is 88241. The next prime is 88259. The reversal of 88248 is 84288.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88241) by changing a digit.

88248 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 3 ways as a sum of consecutive naturals, for example, 1815 + ... + 1862.

288248 is an apocalyptic number.

It is an amenable number.

88248 is an abundant number, since it is smaller than the sum of its proper divisors (132432).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110340).

88248 is a wasteful number, since it uses less digits than its factorization.

88248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3686 (or 3682 counting only the distinct ones).

The product of its digits is 4096, while the sum is 30.

The square root of 88248 is about 297.0656493100. The cubic root of 88248 is about 44.5213464896.

It can be divided in two parts, 8 and 8248, that added together give a triangular number (8256 = T128).

The spelling of 88248 in words is "eighty-eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 3677 7354 11031 14708 22062 29416 44124 88248