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88984 = 2372227
BaseRepresentation
bin10101101110011000
311112001201
4111232120
510321414
61523544
7520300
oct255630
9145051
1088984
1160945
12435b4
133166c
1424600
151b574
hex15b98

88984 has 24 divisors (see below), whose sum is σ = 194940. Its totient is φ = 37968.

The previous prime is 88969. The next prime is 88993. The reversal of 88984 is 48988.

It is a congruent number.

It is an unprimeable number.

88984 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 5 ways as a sum of consecutive naturals, for example, 279 + ... + 505.

288984 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 88984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97470).

88984 is an abundant number, since it is smaller than the sum of its proper divisors (105956).

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

88984 is a wasteful number, since it uses less digits than its factorization.

88984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 236 counting only the distinct ones).

The product of its digits is 18432, while the sum is 37.

The square root of 88984 is about 298.3018605373. The cubic root of 88984 is about 44.6447752928.

Adding to 88984 its product of digits (18432), we get a triangular number (107416 = T463).

The spelling of 88984 in words is "eighty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 227 392 454 908 1589 1816 3178 6356 11123 12712 22246 44492 88984