Search a number
-
+
484498784 = 257111979131
BaseRepresentation
bin11100111000001…
…101110101100000
31020202200002101102
4130320031311200
51443012430114
6120024253532
715002112620
oct3470156540
91222602342
10484498784
1122953a120
121163112a8
13794b8593
14484bc880
152c8052de
hex1ce0dd60

484498784 has 192 divisors, whose sum is σ = 1277337600. Its totient is φ = 175219200.

The previous prime is 484498753. The next prime is 484498789. The reversal of 484498784 is 487894484.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484498789) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3698399 + ... + 3698529.

It is an arithmetic number, because the mean of its divisors is an integer number (6652800).

Almost surely, 2484498784 is an apocalyptic number.

484498784 is a gapful number since it is divisible by the number (44) 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 484498784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638668800).

484498784 is an abundant number, since it is smaller than the sum of its proper divisors (792838816).

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

484498784 is a wasteful number, since it uses less digits than its factorization.

484498784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 249 counting only the distinct ones).

The product of its digits is 8257536, while the sum is 56.

The square root of 484498784 is about 22011.3330809381. Note that the first 3 decimals coincide. The cubic root of 484498784 is about 785.4120567827.

The spelling of 484498784 in words is "four hundred eighty-four million, four hundred ninety-eight thousand, seven hundred eighty-four".