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88914 = 2372973
BaseRepresentation
bin10101101101010010
311111222010
4111231102
510321124
61523350
7520140
oct255522
9144863
1088914
1160891
1243556
1331617
1424590
151b529
hex15b52

88914 has 32 divisors (see below), whose sum is σ = 213120. Its totient is φ = 24192.

The previous prime is 88903. The next prime is 88919. The reversal of 88914 is 41988.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (88919) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1182 + ... + 1254.

It is an arithmetic number, because the mean of its divisors is an integer number (6660).

288914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106560).

88914 is an abundant number, since it is smaller than the sum of its proper divisors (124206).

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

88914 is a wasteful number, since it uses less digits than its factorization.

88914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114.

The product of its digits is 2304, while the sum is 30.

The square root of 88914 is about 298.1845066398. The cubic root of 88914 is about 44.6330654944.

It can be divided in two parts, 889 and 14, that added together give a triangular number (903 = T42).

The spelling of 88914 in words is "eighty-eight thousand, nine hundred fourteen".

Divisors: 1 2 3 6 7 14 21 29 42 58 73 87 146 174 203 219 406 438 511 609 1022 1218 1533 2117 3066 4234 6351 12702 14819 29638 44457 88914