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490760244 = 2232131048633
BaseRepresentation
bin11101010000000…
…110100000110100
31021012110012111100
4131100012200310
52001113311434
6120410410100
715106251612
oct3520064064
91235405440
10490760244
11232026487
12118430930
137a89b5a0
144926c6b2
152d140699
hex1d406834

490760244 has 36 divisors (see below), whose sum is σ = 1335959716. Its totient is φ = 151003008.

The previous prime is 490760219. The next prime is 490760251. The reversal of 490760244 is 442067094.

490760244 is a `hidden beast` number, since 4 + 9 + 0 + 7 + 602 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 61027344 + 429732900 = 7812^2 + 20730^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 490760199 and 490760208.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 523849 + ... + 524784.

Almost surely, 2490760244 is an apocalyptic number.

It is an amenable number.

490760244 is an abundant number, since it is smaller than the sum of its proper divisors (845199472).

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

490760244 is a wasteful number, since it uses less digits than its factorization.

490760244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048656 (or 1048651 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 490760244 is about 22153.1091271632. The cubic root of 490760244 is about 788.7810309579.

The spelling of 490760244 in words is "four hundred ninety million, seven hundred sixty thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1048633 2097266 3145899 4194532 6291798 9437697 12583596 13632229 18875394 27264458 37750788 40896687 54528916 81793374 122690061 163586748 245380122 490760244