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88396 = 22721141
BaseRepresentation
bin10101100101001100
311111020221
4111211030
510312041
61521124
7515500
oct254514
9144227
1088396
1160460
12431a4
1331309
1424300
151b2d1
hex1594c

88396 has 36 divisors (see below), whose sum is σ = 201096. Its totient is φ = 33600.

The previous prime is 88379. The next prime is 88397. The reversal of 88396 is 69388.

88396 is a modest number, since divided by 396 gives 88 as remainder.

It is not an unprimeable number, because it can be changed into a prime (88397) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2136 + ... + 2176.

It is an arithmetic number, because the mean of its divisors is an integer number (5586).

288396 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 88396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100548).

88396 is an abundant number, since it is smaller than the sum of its proper divisors (112700).

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

88396 is a wasteful number, since it uses less digits than its factorization.

88396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 61 counting only the distinct ones).

The product of its digits is 10368, while the sum is 34.

The square root of 88396 is about 297.3146481423. The cubic root of 88396 is about 44.5462213844.

It can be divided in two parts, 883 and 96, that added together give a palindrome (979).

The spelling of 88396 in words is "eighty-eight thousand, three hundred ninety-six".

Divisors: 1 2 4 7 11 14 22 28 41 44 49 77 82 98 154 164 196 287 308 451 539 574 902 1078 1148 1804 2009 2156 3157 4018 6314 8036 12628 22099 44198 88396