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5213494400 = 27524179503
BaseRepresentation
bin1001101101011111…
…11001110010000000
3111110100002221211012
410312233321302000
541134123310100
62221155140052
7243123654062
oct46657716200
914410087735
105213494400
112235977564
121015ba4628
1365115c13a
14376597732
15207a79135
hex136bf9c80

5213494400 has 192 divisors, whose sum is σ = 13386643200. Its totient is φ = 2004787200.

The previous prime is 5213494369. The next prime is 5213494423. The reversal of 5213494400 is 44943125.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10364549 + ... + 10365051.

It is an arithmetic number, because the mean of its divisors is an integer number (69722100).

Almost surely, 25213494400 is an apocalyptic number.

5213494400 is a gapful number since it is divisible by the number (50) 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 5213494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6693321600).

5213494400 is an abundant number, since it is smaller than the sum of its proper divisors (8173148800).

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

5213494400 is a wasteful number, since it uses less digits than its factorization.

5213494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 5213494400 is about 72204.5317137366. The cubic root of 5213494400 is about 1733.9755542619.

The spelling of 5213494400 in words is "five billion, two hundred thirteen million, four hundred ninety-four thousand, four hundred".