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490991257 = 2961433641
BaseRepresentation
bin11101010000111…
…110111010011001
31021012212221101101
4131100332322121
52001143210012
6120415351401
715111233251
oct3520767231
91235787341
10490991257
11232173aa9
12118522561
137a94c793
14492cc961
152d188d57
hex1d43ee99

490991257 has 16 divisors (see below), whose sum is σ = 518248080. Its totient is φ = 464486400.

The previous prime is 490991219. The next prime is 490991261. The reversal of 490991257 is 752199094.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 36917776 + 454073481 = 6076^2 + 21309^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-490991257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (490991957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 765657 + ... + 766297.

It is an arithmetic number, because the mean of its divisors is an integer number (32390505).

Almost surely, 2490991257 is an apocalyptic number.

It is an amenable number.

490991257 is a deficient number, since it is larger than the sum of its proper divisors (27256823).

490991257 is a wasteful number, since it uses less digits than its factorization.

490991257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164.

The product of its (nonzero) digits is 204120, while the sum is 46.

The square root of 490991257 is about 22158.3225222488. The cubic root of 490991257 is about 788.9047777979.

The spelling of 490991257 in words is "four hundred ninety million, nine hundred ninety-one thousand, two hundred fifty-seven".

Divisors: 1 29 61 433 641 1769 12557 18589 26413 39101 277553 765977 1133929 8049037 16930733 490991257