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88192 = 271353
BaseRepresentation
bin10101100010000000
311110222101
4111202000
510310232
61520144
7515056
oct254200
9143871
1088192
1160295
1243054
13311b0
14241d6
151b1e7
hex15880

88192 has 32 divisors (see below), whose sum is σ = 192780. Its totient is φ = 39936.

The previous prime is 88177. The next prime is 88211. The reversal of 88192 is 29188.

It can be written as a sum of positive squares in 2 ways, for example, as 87616 + 576 = 296^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 88192.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1638 + ... + 1690.

288192 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 88192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96390).

88192 is an abundant number, since it is smaller than the sum of its proper divisors (104588).

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

88192 is a wasteful number, since it uses less digits than its factorization.

88192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 68 counting only the distinct ones).

The product of its digits is 1152, while the sum is 28.

The square root of 88192 is about 296.9713790923. The cubic root of 88192 is about 44.5119271148.

It can be divided in two parts, 8 and 8192, that multiplied together give a 16-th power (65536 = 216).

The spelling of 88192 in words is "eighty-eight thousand, one hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 53 64 104 106 128 208 212 416 424 689 832 848 1378 1664 1696 2756 3392 5512 6784 11024 22048 44096 88192