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490518181 = 1566131321
BaseRepresentation
bin11101001111001…
…011011010100101
31021011222220110001
4131033023122211
52001033040211
6120401301301
715104223106
oct3517133245
91234886401
10490518181
1123198062a
12118334831
137a81535a
14492083ad
152d0e3ac1
hex1d3cb6a5

490518181 has 4 divisors (see below), whose sum is σ = 490565164. Its totient is φ = 490471200.

The previous prime is 490518173. The next prime is 490518191. The reversal of 490518181 is 181815094.

490518181 is a nontrivial binomial coefficient, being equal to C(31322, 2).

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 409698081 + 80820100 = 20241^2 + 8990^2 .

It is a 3-Lehmer number, since φ(490518181) divides (490518181-1)3.

It is a cyclic number.

It is not a de Polignac number, because 490518181 - 23 = 490518173 is a prime.

It is a super-2 number, since 2×4905181812 = 481216171783097522, which contains 22 as substring.

It is a deceptive number, since it divides R490518180.

It is a self number, because there is not a number n which added to its sum of digits gives 490518181.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490518191) 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 3 ways as a sum of consecutive naturals, for example, 1 + ... + 31321.

It is an arithmetic number, because the mean of its divisors is an integer number (122641291).

It is a Poulet number, since it divides 2490518180-1.

Almost surely, 2490518181 is an apocalyptic number.

490518181 is the 31321-st triangular number and also the 15661-st hexagonal number.

490518181 is the 10441-st centered nonagonal number.

It is an amenable number.

490518181 is a deficient number, since it is larger than the sum of its proper divisors (46983).

490518181 is a wasteful number, since it uses less digits than its factorization.

490518181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46982.

The product of its (nonzero) digits is 11520, while the sum is 37.

The square root of 490518181 is about 22147.6450441125. The cubic root of 490518181 is about 788.6513232878.

It can be divided in two parts, 490 and 518181, that added together give a triangular number (518671 = T1018).

The spelling of 490518181 in words is "four hundred ninety million, five hundred eighteen thousand, one hundred eighty-one".

Divisors: 1 15661 31321 490518181