Search a number
-
+
489418920 = 2332567103197
BaseRepresentation
bin11101001010111…
…111000010101000
31021002221001112200
4131022333002220
52000242401140
6120321540200
715061664214
oct3512770250
91232831480
10489418920
1123129a751
12117aa4660
137a51bbc3
1448ddd944
152ce78030
hex1d2bf0a8

489418920 has 192 divisors, whose sum is σ = 1638299520. Its totient is φ = 126669312.

The previous prime is 489418889. The next prime is 489418949. The reversal of 489418920 is 29814984.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2484262 + ... + 2484458.

It is an arithmetic number, because the mean of its divisors is an integer number (8532810).

Almost surely, 2489418920 is an apocalyptic number.

489418920 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 489418920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819149760).

489418920 is an abundant number, since it is smaller than the sum of its proper divisors (1148880600).

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

489418920 is a wasteful number, since it uses less digits than its factorization.

489418920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 489418920 is about 22122.8144683266. The cubic root of 489418920 is about 788.0617548895.

The spelling of 489418920 in words is "four hundred eighty-nine million, four hundred eighteen thousand, nine hundred twenty".