Search a number
-
+
495427104 = 2534191137
BaseRepresentation
bin11101100001111…
…001111000100000
31021112020022020000
4131201321320200
52003312131404
6121054420000
715164026614
oct3541717040
91245208200
10495427104
11234723797
12119b01600
137b843843
1449b25344
152d763339
hex1d879e20

495427104 has 60 divisors (see below), whose sum is σ = 1457044974. Its totient is φ = 165141504.

The previous prime is 495427099. The next prime is 495427139. The reversal of 495427104 is 401724594.

It is a happy number.

495427104 is a `hidden beast` number, since 4 + 9 + 542 + 7 + 104 = 666.

It can be written as a sum of positive squares in only one way, i.e., 455737104 + 39690000 = 21348^2 + 6300^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 92977 + ... + 98160.

Almost surely, 2495427104 is an apocalyptic number.

It is an amenable number.

495427104 is an abundant number, since it is smaller than the sum of its proper divisors (961617870).

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

495427104 is a wasteful number, since it uses less digits than its factorization.

495427104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191159 (or 191142 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 495427104 is about 22258.1918403090. The cubic root of 495427104 is about 791.2734383569.

The spelling of 495427104 in words is "four hundred ninety-five million, four hundred twenty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 191137 382274 573411 764548 1146822 1529096 1720233 2293644 3058192 3440466 4587288 5160699 6116384 6880932 9174576 10321398 13761864 15482097 18349152 20642796 27523728 30964194 41285592 55047456 61928388 82571184 123856776 165142368 247713552 495427104