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486801900 = 223552132367
BaseRepresentation
bin11101000001000…
…000000111101100
31020221000002200000
4131001000013230
51444110130100
6120145504300
715030514344
oct3501000754
91227002600
10486801900
1122a872522
12117042090
1379b13980
144891bd24
152cb0c900
hex1d0401ec

486801900 has 432 divisors, whose sum is σ = 1804717824. Its totient is φ = 112907520.

The previous prime is 486801883. The next prime is 486801901. The reversal of 486801900 is 9108684.

It is a happy number.

It is a super-2 number, since 2×4868019002 = 473952179687220000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (486801901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7265667 + ... + 7265733.

Almost surely, 2486801900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 486801900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902358912).

486801900 is an abundant number, since it is smaller than the sum of its proper divisors (1317915924).

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

486801900 is a wasteful number, since it uses less digits than its factorization.

486801900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 486801900 is about 22063.5876502440. The cubic root of 486801900 is about 786.6546029782.

The spelling of 486801900 in words is "four hundred eighty-six million, eight hundred one thousand, nine hundred".