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9290423520 = 253357243889
BaseRepresentation
bin10001010011100000…
…01001110011100000
3212222110120102012000
420221300021303200
5123011322023040
64133514004000
7446140203600
oct105160116340
925873512160
109290423520
113a38224774
121973416600
13b509a7231
14641c14c00
15395948130
hex229c09ce0

9290423520 has 288 divisors, whose sum is σ = 37826157600. Its totient is φ = 2123476992.

The previous prime is 9290423501. The next prime is 9290423531. The reversal of 9290423520 is 253240929.

9290423520 is a `hidden beast` number, since 9 + 2 + 90 + 42 + 3 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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 47 ways as a sum of consecutive naturals, for example, 189736 + ... + 233624.

It is an arithmetic number, because the mean of its divisors is an integer number (131340825).

Almost surely, 29290423520 is an apocalyptic number.

9290423520 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9290423520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18913078800).

9290423520 is an abundant number, since it is smaller than the sum of its proper divisors (28535734080).

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

9290423520 is a wasteful number, since it uses less digits than its factorization.

9290423520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43927 (or 43906 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 9290423520 is about 96386.8430855581. The cubic root of 9290423520 is about 2102.2216488266.

The spelling of 9290423520 in words is "nine billion, two hundred ninety million, four hundred twenty-three thousand, five hundred twenty".