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5302441872 = 24337131931229
BaseRepresentation
bin1001111000000110…
…01101011110010000
3111200112110221211000
410330003031132100
541324411114442
62234053422000
7245254004130
oct47403153620
914615427730
105302441872
1122810aa072
12103b93a900
13666702c90
1438430cac0
15210798d4c
hex13c0cd790

5302441872 has 640 divisors, whose sum is σ = 20443136000. Its totient is φ = 1276508160.

The previous prime is 5302441871. The next prime is 5302441901. The reversal of 5302441872 is 2781442035.

It is a happy number.

5302441872 is a `hidden beast` number, since 530 + 2 + 4 + 41 + 87 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5302441871) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23154654 + ... + 23154882.

It is an arithmetic number, because the mean of its divisors is an integer number (31942400).

Almost surely, 25302441872 is an apocalyptic number.

5302441872 is a gapful number since it is divisible by the number (52) 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 5302441872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10221568000).

5302441872 is an abundant number, since it is smaller than the sum of its proper divisors (15140694128).

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

5302441872 is a wasteful number, since it uses less digits than its factorization.

5302441872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 5302441872 is about 72817.8678072903. The cubic root of 5302441872 is about 1743.7811234588.

The spelling of 5302441872 in words is "five billion, three hundred two million, four hundred forty-one thousand, eight hundred seventy-two".