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485713800 = 23335211131737
BaseRepresentation
bin11100111100110…
…110011110001000
31020211221211002000
4130330312132020
51443320320200
6120110311000
715015333135
oct3474663610
91224854060
10485713800
1122a199a70
121167b8460
1379822620
144871758c
152c995300
hex1cf36788

485713800 has 768 divisors, whose sum is σ = 2137363200. Its totient is φ = 99532800.

The previous prime is 485713799. The next prime is 485713843. The reversal of 485713800 is 8317584.

485713800 is a `hidden beast` number, since 4 + 8 + 571 + 3 + 80 + 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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13127382 + ... + 13127418.

It is an arithmetic number, because the mean of its divisors is an integer number (2783025).

Almost surely, 2485713800 is an apocalyptic number.

485713800 is a gapful number since it is divisible by the number (40) 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 485713800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068681600).

485713800 is an abundant number, since it is smaller than the sum of its proper divisors (1651649400).

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

485713800 is a wasteful number, since it uses less digits than its factorization.

485713800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 485713800 is about 22038.9155813075. The cubic root of 485713800 is about 786.0680554091.

The spelling of 485713800 in words is "four hundred eighty-five million, seven hundred thirteen thousand, eight hundred".