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5424819400 = 235274111379
BaseRepresentation
bin1010000110101100…
…00010110011001000
3112000001202101020001
411003112002303020
542102223210100
62254144412344
7251301130000
oct50326026310
915001671201
105424819400
112334195120
1210749170b4
13685b80110
14396687000
1521b3bdd6a
hex143582cc8

5424819400 has 480 divisors, whose sum is σ = 17505129600. Its totient is φ = 1541030400.

The previous prime is 5424819349. The next prime is 5424819457. The reversal of 5424819400 is 49184245.

It is a self number, because there is not a number n which added to its sum of digits gives 5424819400.

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 119 ways as a sum of consecutive naturals, for example, 68668561 + ... + 68668639.

It is an arithmetic number, because the mean of its divisors is an integer number (36469020).

Almost surely, 25424819400 is an apocalyptic number.

5424819400 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 5424819400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8752564800).

5424819400 is an abundant number, since it is smaller than the sum of its proper divisors (12080310200).

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

5424819400 is a wasteful number, since it uses less digits than its factorization.

5424819400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 5424819400 is about 73653.3733103922. The cubic root of 5424819400 is about 1757.0944008368.

The spelling of 5424819400 in words is "five billion, four hundred twenty-four million, eight hundred nineteen thousand, four hundred".