Search a number
-
+
495990 = 233511167
BaseRepresentation
bin1111001000101110110
3221012101000
41321011312
5111332430
614344130
74134015
oct1710566
9835330
10495990
11309710
121bb046
131449b1
14cca7c
159be60
hex79176

495990 has 64 divisors (see below), whose sum is σ = 1451520. Its totient is φ = 119520.

The previous prime is 495983. The next prime is 496007. The reversal of 495990 is 99594.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2887 + ... + 3053.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2495990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725760).

495990 is an abundant number, since it is smaller than the sum of its proper divisors (955530).

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

495990 is a wasteful number, since it uses less digits than its factorization.

495990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 495990 is about 704.2655749076. The cubic root of 495990 is about 79.1573002154.

It can be divided in two parts, 495 and 990, that added together give a triangular number (1485 = T54).

The spelling of 495990 in words is "four hundred ninety-five thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 167 198 270 297 330 334 495 501 594 835 990 1002 1485 1503 1670 1837 2505 2970 3006 3674 4509 5010 5511 7515 9018 9185 11022 15030 16533 18370 22545 27555 33066 45090 49599 55110 82665 99198 165330 247995 495990