Search a number
-
+
495830920 = 23513953521
BaseRepresentation
bin11101100011011…
…100011110001000
31021112222211011011
4131203130132020
52003413042140
6121111213304
715200331124
oct3543343610
91245884134
10495830920
1123497a122
1211a077234
137b9555a0
1449bcc584
152d7e2cea
hex1d8dc788

495830920 has 32 divisors (see below), whose sum is σ = 1201437720. Its totient is φ = 183075840.

The previous prime is 495830903. The next prime is 495830927. The reversal of 495830920 is 29038594.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 264973284 + 230857636 = 16278^2 + 15194^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (495830927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 476241 + ... + 477280.

Almost surely, 2495830920 is an apocalyptic number.

495830920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

495830920 is an abundant number, since it is smaller than the sum of its proper divisors (705606800).

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

495830920 is a wasteful number, since it uses less digits than its factorization.

495830920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953545 (or 953541 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 495830920 is about 22267.2611697083. The cubic root of 495830920 is about 791.4883654350.

The spelling of 495830920 in words is "four hundred ninety-five million, eight hundred thirty thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 953521 1907042 3814084 4767605 7628168 9535210 12395773 19070420 24791546 38140840 49583092 61978865 99166184 123957730 247915460 495830920