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5329044000 = 253353721953
BaseRepresentation
bin1001111011010001…
…01100001000100000
3111202101112111002000
410331220230020200
541403213402000
62240443524000
7246026061300
oct47550541040
914671474060
105329044000
1122951196a5
121048829600
1366c088497
14387a75600
15212ca1000
hex13da2c220

5329044000 has 1152 divisors, whose sum is σ = 24200467200. Its totient is φ = 1132185600.

The previous prime is 5329043989. The next prime is 5329044023. The reversal of 5329044000 is 4409235.

5329044000 is a `hidden beast` number, since 532 + 90 + 4 + 40 + 0 + 0 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 100547974 + ... + 100548026.

It is an arithmetic number, because the mean of its divisors is an integer number (21007350).

Almost surely, 25329044000 is an apocalyptic number.

5329044000 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 5329044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12100233600).

5329044000 is an abundant number, since it is smaller than the sum of its proper divisors (18871423200).

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

5329044000 is a wasteful number, since it uses less digits than its factorization.

5329044000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5329044000 is about 73000.3013692409. The cubic root of 5329044000 is about 1746.6924191245.

The spelling of 5329044000 in words is "five billion, three hundred twenty-nine million, forty-four thousand".