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489116160 = 29325132371
BaseRepresentation
bin11101001001110…
…101001000000000
31021002100200020100
4131021311020000
52000203204120
6120311242400
715056263431
oct3511651000
91232320210
10489116160
11231103235
12117979400
137a444160
1448d61488
152ce18490
hex1d275200

489116160 has 480 divisors, whose sum is σ = 1930376448. Its totient is φ = 113541120.

The previous prime is 489116083. The next prime is 489116179. The reversal of 489116160 is 61611984.

It is a happy number.

489116160 is a `hidden beast` number, since 489 + 1 + 16 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6888925 + ... + 6888995.

Almost surely, 2489116160 is an apocalyptic number.

489116160 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 489116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965188224).

489116160 is an abundant number, since it is smaller than the sum of its proper divisors (1441260288).

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

489116160 is a wasteful number, since it uses less digits than its factorization.

489116160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 489116160 is about 22115.9706999263. The cubic root of 489116160 is about 787.8992201073.

The spelling of 489116160 in words is "four hundred eighty-nine million, one hundred sixteen thousand, one hundred sixty".