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490348544 = 213717503
BaseRepresentation
bin11101001110100…
…010000000000000
31021011200021202012
4131032202000000
52001012123134
6120353512052
715102615410
oct3516420000
91234607665
10490348544
11231875134
12118272628
137a78608a
14491a2640
152d0ad6ce
hex1d3a2000

490348544 has 112 divisors (see below), whose sum is σ = 1189012608. Its totient is φ = 197394432.

The previous prime is 490348517. The next prime is 490348553. The reversal of 490348544 is 445843094.

It is a tau number, because it is divible by the number of its divisors (112).

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, 974597 + ... + 975099.

It is an arithmetic number, because the mean of its divisors is an integer number (10616184).

Almost surely, 2490348544 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 490348544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594506304).

490348544 is an abundant number, since it is smaller than the sum of its proper divisors (698664064).

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

490348544 is an equidigital number, since it uses as much as digits as its factorization.

490348544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 41.

The square root of 490348544 is about 22143.8150281292. The cubic root of 490348544 is about 788.5603991216.

The spelling of 490348544 in words is "four hundred ninety million, three hundred forty-eight thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 256 272 448 476 503 512 544 896 952 1006 1024 1088 1792 1904 2012 2048 2176 3521 3584 3808 4024 4096 4352 7042 7168 7616 8048 8192 8551 8704 14084 14336 15232 16096 17102 17408 28168 28672 30464 32192 34204 34816 56336 57344 59857 60928 64384 68408 69632 112672 119714 121856 128768 136816 139264 225344 239428 243712 257536 273632 450688 478856 487424 515072 547264 901376 957712 974848 1030144 1094528 1802752 1915424 2060288 2189056 3605504 3830848 4120576 4378112 7211008 7661696 8756224 14422016 15323392 17512448 28844032 30646784 35024896 61293568 70049792 122587136 245174272 490348544