Search a number
-
+
484790130 = 23351131971
BaseRepresentation
bin11100111001010…
…100111101110010
31020210012220001000
4130321110331302
51443101241010
6120034422430
715004435206
oct3471247562
91223186030
10484790130
11229719000
12116431a16
137958b086
1448556b06
152c8617c0
hex1ce54f72

484790130 has 256 divisors, whose sum is σ = 1517875200. Its totient is φ = 109771200.

The previous prime is 484790107. The next prime is 484790167. The reversal of 484790130 is 31097484.

It is a happy number.

It is a super-3 number, since 3×4847901303 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6827995 + ... + 6828065.

It is an arithmetic number, because the mean of its divisors is an integer number (5929200).

Almost surely, 2484790130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484790130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758937600).

484790130 is an abundant number, since it is smaller than the sum of its proper divisors (1033085070).

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

484790130 is a wasteful number, since it uses less digits than its factorization.

484790130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 484790130 is about 22017.9501770714. The cubic root of 484790130 is about 785.5694571153.

The spelling of 484790130 in words is "four hundred eighty-four million, seven hundred ninety thousand, one hundred thirty".