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483125760 = 29325131613
BaseRepresentation
bin11100110010111…
…110101000000000
31020200002022221200
4130302332220000
51442140011020
6115535021200
714654333625
oct3462765000
91220068850
10483125760
11228791597
1211596a800
1379127640
144824234c
152c633590
hex1ccbea00

483125760 has 240 divisors, whose sum is σ = 1803025224. Its totient is φ = 118849536.

The previous prime is 483125729. The next prime is 483125767. The reversal of 483125760 is 67521384.

483125760 is a `hidden beast` number, since 4 + 83 + 1 + 2 + 576 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 330948864 + 152176896 = 18192^2 + 12336^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 (483125767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298714 + ... + 300326.

Almost surely, 2483125760 is an apocalyptic number.

483125760 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 483125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901512612).

483125760 is an abundant number, since it is smaller than the sum of its proper divisors (1319899464).

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

483125760 is a wasteful number, since it uses less digits than its factorization.

483125760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 483125760 is about 21980.1219286882. The cubic root of 483125760 is about 784.6694268517.

The spelling of 483125760 in words is "four hundred eighty-three million, one hundred twenty-five thousand, seven hundred sixty".