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5923042560 = 283255389109
BaseRepresentation
bin1011000010000101…
…00111010100000000
3120021210020201220200
411201002213110000
544112244330220
62415423205200
7266531013441
oct54102472400
916253221820
105923042560
11256a4485a6
121193746800
13735162516
144028d92c8
15249ed5890
hex1610a7500

5923042560 has 432 divisors, whose sum is σ = 21308086800. Its totient is φ = 1518206976.

The previous prime is 5923042553. The next prime is 5923042561. The reversal of 5923042560 is 652403295.

5923042560 is a `hidden beast` number, since 5 + 92 + 3 + 0 + 4 + 2 + 560 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2663424 + 5920379136 = 1632^2 + 76944^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5923042561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54339786 + ... + 54339894.

It is an arithmetic number, because the mean of its divisors is an integer number (49324275).

Almost surely, 25923042560 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 5923042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10654043400).

5923042560 is an abundant number, since it is smaller than the sum of its proper divisors (15385044240).

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

5923042560 is a wasteful number, since it uses less digits than its factorization.

5923042560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 5923042560 is about 76961.3056022310. The cubic root of 5923042560 is about 1809.3181970588.

The spelling of 5923042560 in words is "five billion, nine hundred twenty-three million, forty-two thousand, five hundred sixty".