Search a number
-
+
495508986 = 23271092331
BaseRepresentation
bin11101100010001…
…101110111111010
31021112101110112200
4131202031313322
52003322241421
6121100251030
715164520420
oct3542156772
91245343480
10495508986
1123477a265
12119b40a76
137b871bab
1449b47110
152d77c726
hex1d88ddfa

495508986 has 72 divisors (see below), whose sum is σ = 1242075744. Its totient is φ = 139851360.

The previous prime is 495508969. The next prime is 495508997. The reversal of 495508986 is 689805594.

It is a happy number.

495508986 is a `hidden beast` number, since 4 + 9 + 550 + 8 + 9 + 86 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1496841 + ... + 1497171.

It is an arithmetic number, because the mean of its divisors is an integer number (17251052).

Almost surely, 2495508986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495508986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621037872).

495508986 is an abundant number, since it is smaller than the sum of its proper divisors (746566758).

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

495508986 is a wasteful number, since it uses less digits than its factorization.

495508986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The square root of 495508986 is about 22260.0311320537. The cubic root of 495508986 is about 791.3170286800.

The spelling of 495508986 in words is "four hundred ninety-five million, five hundred eight thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 109 126 218 327 331 654 662 763 981 993 1526 1962 1986 2289 2317 2979 4578 4634 5958 6867 6951 11881 13734 13902 20853 23762 35643 36079 41706 71286 72158 83167 106929 108237 166334 213858 216474 249501 252553 324711 499002 505106 649422 748503 757659 1497006 1515318 2272977 3932611 4545954 7865222 11797833 23595666 27528277 35393499 55056554 70786998 82584831 165169662 247754493 495508986