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5308212800 = 2652111092767
BaseRepresentation
bin1001111000110010…
…01110011001000000
3111200221100011001002
410330121032121000
541332400302200
62234421231132
7245354031032
oct47431163100
914627304032
105308212800
112284390930
1210418624a8
13667973927
14384db1c52
15211038bd5
hex13c64e640

5308212800 has 168 divisors, whose sum is σ = 14384853120. Its totient is φ = 1911859200.

The previous prime is 5308212781. The next prime is 5308212829. The reversal of 5308212800 is 82128035.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1917017 + ... + 1919783.

Almost surely, 25308212800 is an apocalyptic number.

5308212800 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 5308212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7192426560).

5308212800 is an abundant number, since it is smaller than the sum of its proper divisors (9076640320).

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

5308212800 is a wasteful number, since it uses less digits than its factorization.

5308212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2909 (or 2894 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 5308212800 is about 72857.4828003274. The cubic root of 5308212800 is about 1744.4135105097.

The spelling of 5308212800 in words is "five billion, three hundred eight million, two hundred twelve thousand, eight hundred".