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495829960 = 23561203209
BaseRepresentation
bin11101100011011…
…100001111001000
31021112222202211121
4131203130033020
52003413024320
6121111205024
715200325253
oct3543341710
91245882747
10495829960
1123497942a
1211a076774
137b955012
1449bcc09a
152d7e28aa
hex1d8dc3c8

495829960 has 32 divisors (see below), whose sum is σ = 1133911800. Its totient is φ = 195079680.

The previous prime is 495829927. The next prime is 495829979. The reversal of 495829960 is 69928594.

It can be written as a sum of positive squares in 4 ways, for example, as 367642276 + 128187684 = 19174^2 + 11322^2 .

It is a junction number, because it is equal to n+sod(n) for n = 495829898 and 495829907.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99165 + ... + 104044.

Almost surely, 2495829960 is an apocalyptic number.

495829960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

495829960 is an abundant number, since it is smaller than the sum of its proper divisors (638081840).

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

495829960 is a wasteful number, since it uses less digits than its factorization.

495829960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203281 (or 203277 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 52.

The square root of 495829960 is about 22267.2396133872. The cubic root of 495829960 is about 791.4878546228.

The spelling of 495829960 in words is "four hundred ninety-five million, eight hundred twenty-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2440 203209 406418 812836 1016045 1625672 2032090 4064180 8128360 12395749 24791498 49582996 61978745 99165992 123957490 247914980 495829960