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90024516 = 22325934217
BaseRepresentation
bin1010101110110…
…10101001000100
320021101201102100
411113122221010
5141021241031
612533312100
72142124101
oct527325104
9207351370
1090024516
11468a882a
1226195630
131586015a
14bd55aa8
157d83de6
hex55daa44

90024516 has 36 divisors (see below), whose sum is σ = 227999772. Its totient is φ = 29950464.

The previous prime is 90024511. The next prime is 90024547. The reversal of 90024516 is 61542009.

It can be written as a sum of positive squares in 2 ways, for example, as 68956416 + 21068100 = 8304^2 + 4590^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 90024516.

It is not an unprimeable number, because it can be changed into a prime (90024511) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 19240 + ... + 23456.

It is an arithmetic number, because the mean of its divisors is an integer number (6333327).

Almost surely, 290024516 is an apocalyptic number.

It is an amenable number.

90024516 is an abundant number, since it is smaller than the sum of its proper divisors (137975256).

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

90024516 is a wasteful number, since it uses less digits than its factorization.

90024516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4820 (or 4815 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 90024516 is about 9488.1249991766. The cubic root of 90024516 is about 448.1811621166.

The spelling of 90024516 in words is "ninety million, twenty-four thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 593 1186 1779 2372 3558 4217 5337 7116 8434 10674 12651 16868 21348 25302 37953 50604 75906 151812 2500681 5001362 7502043 10002724 15004086 22506129 30008172 45012258 90024516