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490960096 = 25114213313
BaseRepresentation
bin11101010000110…
…111010011100000
31021012211100122021
4131100313103200
52001141210341
6120414551224
715111043354
oct3520672340
91235740567
10490960096
11232152650
12118508514
137a93b543
14492c1464
152d17e9d1
hex1d4374e0

490960096 has 48 divisors (see below), whose sum is σ = 1057272048. Its totient is φ = 222566400.

The previous prime is 490960069. The next prime is 490960103. The reversal of 490960096 is 690069094.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146536 + ... + 149848.

It is an arithmetic number, because the mean of its divisors is an integer number (22026501).

Almost surely, 2490960096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490960096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528636024).

490960096 is an abundant number, since it is smaller than the sum of its proper divisors (566311952).

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

490960096 is a wasteful number, since it uses less digits than its factorization.

490960096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3755 (or 3747 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 43.

The square root of 490960096 is about 22157.6193667100. The cubic root of 490960096 is about 788.8880880358. Note that the first 3 decimals are identical.

The spelling of 490960096 in words is "four hundred ninety million, nine hundred sixty thousand, ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 421 842 1684 3313 3368 4631 6626 6736 9262 13252 13472 18524 26504 36443 37048 53008 72886 74096 106016 145772 148192 291544 583088 1166176 1394773 2789546 5579092 11158184 15342503 22316368 30685006 44632736 61370012 122740024 245480048 490960096