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5220685800 = 233252114159109
BaseRepresentation
bin1001101110010110…
…10101011111101000
3111110211122022120100
410313023111133220
541142443421200
62222013225400
7243242045211
oct46713253750
914424568510
105220685800
112239a39570
121018492260
136527a94c5
1437750a408
152084e9d00
hex1372d57e8

5220685800 has 576 divisors, whose sum is σ = 20108088000. Its totient is φ = 1202688000.

The previous prime is 5220685783. The next prime is 5220685819. The reversal of 5220685800 is 85860225.

5220685800 is a `hidden beast` number, since 52 + 20 + 6 + 8 + 580 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 47896146 + ... + 47896254.

It is an arithmetic number, because the mean of its divisors is an integer number (34909875).

Almost surely, 25220685800 is an apocalyptic number.

5220685800 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 5220685800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10054044000).

5220685800 is an abundant number, since it is smaller than the sum of its proper divisors (14887402200).

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

5220685800 is a wasteful number, since it uses less digits than its factorization.

5220685800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5220685800 is about 72254.3133660545. The cubic root of 5220685800 is about 1734.7724594811.

The spelling of 5220685800 in words is "five billion, two hundred twenty million, six hundred eighty-five thousand, eight hundred".