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5724838944 = 2535111731127
BaseRepresentation
bin1010101010011101…
…00001110000100000
3112202222021221200000
411111032201300200
543211024321234
62344023100000
7261603220356
oct52516416040
915688257600
105724838944
112478582260
1211392a1600
13703086a86
143c44637d6
152378d3899
hex1553a1c20

5724838944 has 576 divisors, whose sum is σ = 20288765952. Its totient is φ = 1567641600.

The previous prime is 5724838799. The next prime is 5724839027. The reversal of 5724838944 is 4498384275.

5724838944 is a `hidden beast` number, since 5 + 72 + 483 + 8 + 94 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 45077409 + ... + 45077535.

It is an arithmetic number, because the mean of its divisors is an integer number (35223552).

Almost surely, 25724838944 is an apocalyptic number.

5724838944 is a gapful number since it is divisible by the number (54) 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 5724838944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10144382976).

5724838944 is an abundant number, since it is smaller than the sum of its proper divisors (14563927008).

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

5724838944 is a wasteful number, since it uses less digits than its factorization.

5724838944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 191 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The square root of 5724838944 is about 75662.6654566174. The cubic root of 5724838944 is about 1788.9069764535.

The spelling of 5724838944 in words is "five billion, seven hundred twenty-four million, eight hundred thirty-eight thousand, nine hundred forty-four".