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5292394800 = 24352711241127
BaseRepresentation
bin1001110110111001…
…11000100100110000
3111122211120111211020
410323130320210300
541314323113200
62233054215440
7245102420310
oct47334704460
914584514736
105292394800
112276467600
1210384b4580
136645c5b74
14382c55440
1520e961ea0
hex13b738930

5292394800 has 720 divisors, whose sum is σ = 21987926016. Its totient is φ = 1064448000.

The previous prime is 5292394753. The next prime is 5292394801. The reversal of 5292394800 is 84932925.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (5292394801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41672337 + ... + 41672463.

Almost surely, 25292394800 is an apocalyptic number.

5292394800 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 5292394800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10993963008).

5292394800 is an abundant number, since it is smaller than the sum of its proper divisors (16695531216).

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

5292394800 is a wasteful number, since it uses less digits than its factorization.

5292394800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 5292394800 is about 72748.8474135501. The cubic root of 5292394800 is about 1742.6790543771.

The spelling of 5292394800 in words is "five billion, two hundred ninety-two million, three hundred ninety-four thousand, eight hundred".