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88304980 = 22541113953
BaseRepresentation
bin1010100001101…
…10110101010100
320011011100122211
411100312311110
5140101224410
612432403204
72121402631
oct520666524
9204140584
1088304980
1145933925
12256a6504
13153aa58a
14ba29188
157b4468a
hex5436d54

88304980 has 48 divisors (see below), whose sum is σ = 191845584. Its totient is φ = 34119680.

The previous prime is 88304969. The next prime is 88305023. The reversal of 88304980 is 8940388.

It can be written as a sum of positive squares in 8 ways, for example, as 38489616 + 49815364 = 6204^2 + 7058^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92184 + ... + 93136.

It is an arithmetic number, because the mean of its divisors is an integer number (3996783).

Almost surely, 288304980 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 88304980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95922792).

88304980 is an abundant number, since it is smaller than the sum of its proper divisors (103540604).

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

88304980 is a wasteful number, since it uses less digits than its factorization.

88304980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 88304980 is about 9397.0729485303. The cubic root of 88304980 is about 445.3092661425.

The spelling of 88304980 in words is "eighty-eight million, three hundred four thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 41 82 113 164 205 226 410 452 565 820 953 1130 1906 2260 3812 4633 4765 9266 9530 18532 19060 23165 39073 46330 78146 92660 107689 156292 195365 215378 390730 430756 538445 781460 1076890 2153780 4415249 8830498 17660996 22076245 44152490 88304980