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490970256 = 24379471543
BaseRepresentation
bin11101010000111…
…001110010010000
31021012211212120120
4131100321302100
52001142022011
6120415110240
715111115110
oct3520716220
91235755516
10490970256
1123215a247
12118512380
137a94305a
14492c5040
152d182a06
hex1d439c90

490970256 has 80 divisors (see below), whose sum is σ = 1452002304. Its totient is φ = 140038272.

The previous prime is 490970239. The next prime is 490970257. The reversal of 490970256 is 652079094.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (490970257) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 317421 + ... + 318963.

Almost surely, 2490970256 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 490970256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726001152).

490970256 is an abundant number, since it is smaller than the sum of its proper divisors (961032048).

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

490970256 is a wasteful number, since it uses less digits than its factorization.

490970256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2508 (or 2502 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 490970256 is about 22157.8486320310. The cubic root of 490970256 is about 788.8935297867.

The spelling of 490970256 in words is "four hundred ninety million, nine hundred seventy thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 947 1543 1894 2841 3086 3788 4629 5682 6172 6629 7576 9258 10801 11364 12344 13258 15152 18516 19887 21602 22728 24688 26516 32403 37032 39774 43204 45456 53032 64806 74064 79548 86408 106064 129612 159096 172816 259224 318192 518448 1461221 2922442 4383663 5844884 8767326 10228547 11689768 17534652 20457094 23379536 30685641 35069304 40914188 61371282 70138608 81828376 122742564 163656752 245485128 490970256