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88104096 = 2532305917
BaseRepresentation
bin1010100000001…
…01110010100000
320010210011002200
411100011302200
5140023312341
612424213200
72116605153
oct520056240
9203704080
1088104096
1145806a03
122560a200
131533a002
14b9b5c9a
157b04db6
hex5405ca0

88104096 has 36 divisors (see below), whose sum is σ = 250546842. Its totient is φ = 29367936.

The previous prime is 88104089. The next prime is 88104097. The reversal of 88104096 is 69040188.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 69956496 + 18147600 = 8364^2 + 4260^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 88104096.

It is not an unprimeable number, because it can be changed into a prime (88104097) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 152671 + ... + 153246.

Almost surely, 288104096 is an apocalyptic number.

It is an amenable number.

88104096 is an abundant number, since it is smaller than the sum of its proper divisors (162442746).

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

88104096 is a wasteful number, since it uses less digits than its factorization.

88104096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305933 (or 305922 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 88104096 is about 9386.3782152649. The cubic root of 88104096 is about 444.9713334225.

The spelling of 88104096 in words is "eighty-eight million, one hundred four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 305917 611834 917751 1223668 1835502 2447336 2753253 3671004 4894672 5506506 7342008 9789344 11013012 14684016 22026024 29368032 44052048 88104096