Search a number
-
+
495132 = 22311331
BaseRepresentation
bin1111000111000011100
3221011012020
41320320130
5111321012
614340140
74131351
oct1707034
9834166
10495132
11309000
121ba650
131444a1
14cc628
159ba8c
hex78e1c

495132 has 48 divisors (see below), whose sum is σ = 1311744. Its totient is φ = 145200.

The previous prime is 495119. The next prime is 495133. The reversal of 495132 is 231594.

495132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15957 + ... + 15987.

It is an arithmetic number, because the mean of its divisors is an integer number (27328).

2495132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655872).

495132 is an abundant number, since it is smaller than the sum of its proper divisors (816612).

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

495132 is a wasteful number, since it uses less digits than its factorization.

495132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 47 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 495132 is about 703.6561660357. The cubic root of 495132 is about 79.1116298296. Note that the first 3 decimals are identical.

The spelling of 495132 in words is "four hundred ninety-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 121 124 132 186 242 341 363 372 484 682 726 1023 1331 1364 1452 2046 2662 3751 3993 4092 5324 7502 7986 11253 15004 15972 22506 41261 45012 82522 123783 165044 247566 495132