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5644392000 = 263531379229
BaseRepresentation
bin1010100000110111…
…01001011001000000
3112120100220211012120
411100123221121000
543024431021000
62332030524240
7256605353232
oct52033513100
915510824176
105644392000
112437126285
121116366680
136bc4cb130
143b78c2252
152307e26a0
hex1506e9640

5644392000 has 448 divisors, whose sum is σ = 20414284800. Its totient is φ = 1365811200.

The previous prime is 5644391993. The next prime is 5644392023. The reversal of 5644392000 is 2934465.

It is a super-2 number, since 2×56443920002 = 63718322099328000000, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 24647886 + ... + 24648114.

It is an arithmetic number, because the mean of its divisors is an integer number (45567600).

Almost surely, 25644392000 is an apocalyptic number.

5644392000 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 5644392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10207142400).

5644392000 is an abundant number, since it is smaller than the sum of its proper divisors (14769892800).

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

5644392000 is a wasteful number, since it uses less digits than its factorization.

5644392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 5644392000 is about 75129.1687695265. The cubic root of 5644392000 is about 1780.4880200406.

The spelling of 5644392000 in words is "five billion, six hundred forty-four million, three hundred ninety-two thousand".