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485038080 = 21132519277
BaseRepresentation
bin11100111010010…
…001100000000000
31020210200111011100
4130322101200000
51443132204310
6120044014400
715006520122
oct3472214000
91223614140
10485038080
1122987831a
12116531400
1379646ba7
14485bd212
152c8aeec0
hex1ce91800

485038080 has 288 divisors, whose sum is σ = 1775919600. Its totient is φ = 122093568.

The previous prime is 485038063. The next prime is 485038093. The reversal of 485038080 is 80830584.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 1750902 + ... + 1751178.

Almost surely, 2485038080 is an apocalyptic number.

485038080 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 485038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887959800).

485038080 is an abundant number, since it is smaller than the sum of its proper divisors (1290881520).

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

485038080 is a wasteful number, since it uses less digits than its factorization.

485038080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 485038080 is about 22023.5800904394. The cubic root of 485038080 is about 785.7033629965.

The spelling of 485038080 in words is "four hundred eighty-five million, thirty-eight thousand, eighty".