Search a number
-
+
490099360 = 2553063121
BaseRepresentation
bin11101001101100…
…101001010100000
31021011012121221011
4131031211022200
52000431134420
6120344310304
715100530052
oct3515451240
91234177834
10490099360
112317149a3
12118172394
137a6c982a
14491398d2
152d05e95a
hex1d3652a0

490099360 has 24 divisors (see below), whose sum is σ = 1157860116. Its totient is φ = 196039680.

The previous prime is 490099327. The next prime is 490099397. The reversal of 490099360 is 63990094.

It can be written as a sum of positive squares in 2 ways, for example, as 487703056 + 2396304 = 22084^2 + 1548^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1531401 + ... + 1531720.

Almost surely, 2490099360 is an apocalyptic number.

490099360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

490099360 is an abundant number, since it is smaller than the sum of its proper divisors (667760756).

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

490099360 is a wasteful number, since it uses less digits than its factorization.

490099360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3063136 (or 3063128 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 40.

The square root of 490099360 is about 22138.1878210480. The cubic root of 490099360 is about 788.4268003231.

The spelling of 490099360 in words is "four hundred ninety million, ninety-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 3063121 6126242 12252484 15315605 24504968 30631210 49009936 61262420 98019872 122524840 245049680 490099360