Search a number
-
+
490759677 = 32389140177
BaseRepresentation
bin11101010000000…
…110010111111101
31021012110011201100
4131100012113331
52001113302202
6120410403313
715106250142
oct3520062775
91235404640
10490759677
11232026011
12118430539
137a89b255
144926c3c9
152d14041c
hex1d4065fd

490759677 has 12 divisors (see below), whose sum is σ = 710702460. Its totient is φ = 326329728.

The previous prime is 490759669. The next prime is 490759679. The reversal of 490759677 is 776957094.

It is a happy number.

490759677 is a `hidden beast` number, since 49 + 0 + 7 + 596 + 7 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 107931321 + 382828356 = 10389^2 + 19566^2 .

It is not a de Polignac number, because 490759677 - 23 = 490759669 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490759679) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66588 + ... + 73589.

It is an arithmetic number, because the mean of its divisors is an integer number (59225205).

Almost surely, 2490759677 is an apocalyptic number.

It is an amenable number.

490759677 is a deficient number, since it is larger than the sum of its proper divisors (219942783).

490759677 is a wasteful number, since it uses less digits than its factorization.

490759677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140572 (or 140569 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The square root of 490759677 is about 22153.0963298587. The cubic root of 490759677 is about 788.7807271850.

The spelling of 490759677 in words is "four hundred ninety million, seven hundred fifty-nine thousand, six hundred seventy-seven".

Divisors: 1 3 9 389 1167 3501 140177 420531 1261593 54528853 163586559 490759677