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5304042432 = 2633131721943
BaseRepresentation
bin1001111000010010…
…10100001111000000
3111200122111021101000
410330021110033000
541330313324212
62234152012000
7245303421363
oct47411241700
914618437330
105304042432
112281aa2647
121040391000
13666b43660
143846080da
152109b31dc
hex13c2543c0

5304042432 has 672 divisors, whose sum is σ = 19213779200. Its totient is φ = 1421328384.

The previous prime is 5304042431. The next prime is 5304042439. The reversal of 5304042432 is 2342404035.

It is a super-2 number, since 2×53040424322 = 56265732240912949248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5304042396 and 5304042405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5304042431) 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 95 ways as a sum of consecutive naturals, for example, 123349803 + ... + 123349845.

Almost surely, 25304042432 is an apocalyptic number.

5304042432 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 5304042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9606889600).

5304042432 is an abundant number, since it is smaller than the sum of its proper divisors (13909736768).

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

5304042432 is a wasteful number, since it uses less digits than its factorization.

5304042432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 5304042432 is about 72828.8571378132. The cubic root of 5304042432 is about 1743.9565612164.

Adding to 5304042432 its reverse (2342404035), we get a palindrome (7646446467).

The spelling of 5304042432 in words is "five billion, three hundred four million, forty-two thousand, four hundred thirty-two".