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88844 = 22719167
BaseRepresentation
bin10101101100001100
311111212112
4111230030
510320334
61523152
7520010
oct255414
9144775
1088844
1160828
12434b8
1331592
1424540
151b4ce
hex15b0c

88844 has 24 divisors (see below), whose sum is σ = 188160. Its totient is φ = 35856.

The previous prime is 88843. The next prime is 88853. The reversal of 88844 is 44888.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 88844.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88843) 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, 449 + ... + 615.

It is an arithmetic number, because the mean of its divisors is an integer number (7840).

288844 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 88844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94080).

88844 is an abundant number, since it is smaller than the sum of its proper divisors (99316).

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

88844 is a wasteful number, since it uses less digits than its factorization.

88844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 195 counting only the distinct ones).

The product of its digits is 8192, while the sum is 32.

The square root of 88844 is about 298.0671065381. The cubic root of 88844 is about 44.6213495485.

Subtracting from 88844 its reverse (44888), we obtain a triangular number (43956 = T296).

It can be divided in two parts, 8884 and 4, that added together give a palindrome (8888).

The spelling of 88844 in words is "eighty-eight thousand, eight hundred forty-four".

Divisors: 1 2 4 7 14 19 28 38 76 133 167 266 334 532 668 1169 2338 3173 4676 6346 12692 22211 44422 88844