Search a number
-
+
484095840 = 25352983419
BaseRepresentation
bin11100110110101…
…011011101100000
31020201220121122120
4130312223131200
51442412031330
6120011504240
714665514064
oct3466533540
91221817576
10484095840
11229294408
12116158080
13793a7057
1448415aa4
152c775c10
hex1cdab760

484095840 has 192 divisors, whose sum is σ = 1600300800. Its totient is φ = 122845184.

The previous prime is 484095839. The next prime is 484095847. The reversal of 484095840 is 48590484.

It is a junction number, because it is equal to n+sod(n) for n = 484095792 and 484095801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484095847) 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, 1155151 + ... + 1155569.

It is an arithmetic number, because the mean of its divisors is an integer number (8334900).

Almost surely, 2484095840 is an apocalyptic number.

484095840 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 484095840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800150400).

484095840 is an abundant number, since it is smaller than the sum of its proper divisors (1116204960).

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

484095840 is a wasteful number, since it uses less digits than its factorization.

484095840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 484095840 is about 22002.1780739999. The cubic root of 484095840 is about 785.1942613607.

The spelling of 484095840 in words is "four hundred eighty-four million, ninety-five thousand, eight hundred forty".