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490777131 = 31317740237
BaseRepresentation
bin11101010000001…
…010101000101011
31021012111001122210
4131100022220223
52001114332011
6120411020203
715106352055
oct3520125053
91235431583
10490777131
11232038139
1211843a663
137a8a6190
14492748d5
152d1456a6
hex1d40aa2b

490777131 has 16 divisors (see below), whose sum is σ = 746159904. Its totient is φ = 284250624.

The previous prime is 490777129. The next prime is 490777153. The reversal of 490777131 is 131777094.

It is not a de Polignac number, because 490777131 - 21 = 490777129 is a prime.

It is a super-2 number, since 2×4907771312 = 481724384625182322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 490777131.

It is not an unprimeable number, because it can be changed into a prime (490777171) 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, 369456 + ... + 370781.

It is an arithmetic number, because the mean of its divisors is an integer number (46634994).

Almost surely, 2490777131 is an apocalyptic number.

490777131 is a deficient number, since it is larger than the sum of its proper divisors (255382773).

490777131 is a wasteful number, since it uses less digits than its factorization.

490777131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740270.

The product of its (nonzero) digits is 37044, while the sum is 39.

The square root of 490777131 is about 22153.4902667729. The cubic root of 490777131 is about 788.7900781405.

The spelling of 490777131 in words is "four hundred ninety million, seven hundred seventy-seven thousand, one hundred thirty-one".

Divisors: 1 3 13 17 39 51 221 663 740237 2220711 9623081 12584029 28869243 37752087 163592377 490777131