Search a number
-
+
484833960 = 23325133613
BaseRepresentation
bin11100111001011…
…111101010101000
31020210022010011100
4130321133222220
51443104141320
6120035401400
715005010042
oct3471375250
91223263140
10484833960
11229748a26
12116453260
13795a5000
1448568a92
152c86e790
hex1ce5faa8

484833960 has 192 divisors, whose sum is σ = 1709744400. Its totient is φ = 119149056.

The previous prime is 484833871. The next prime is 484833989. The reversal of 484833960 is 69338484.

484833960 is a `hidden beast` number, since 484 + 83 + 3 + 96 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 167495364 + 317338596 = 12942^2 + 17814^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 790614 + ... + 791226.

Almost surely, 2484833960 is an apocalyptic number.

484833960 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 484833960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854872200).

484833960 is an abundant number, since it is smaller than the sum of its proper divisors (1224910440).

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

484833960 is a wasteful number, since it uses less digits than its factorization.

484833960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 484833960 is about 22018.9454788371. The cubic root of 484833960 is about 785.5931309139.

The spelling of 484833960 in words is "four hundred eighty-four million, eight hundred thirty-three thousand, nine hundred sixty".