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495634560 = 2735258143
BaseRepresentation
bin11101100010101…
…100100010000000
31021112121211210120
4131202230202000
52003340301220
6121103100240
715165552501
oct3542544200
91245554716
10495634560
11234855643
12119ba1680
137b8b70b5
1449b7aba8
152d7a4a40
hex1d8ac880

495634560 has 64 divisors (see below), whose sum is σ = 1579841280. Its totient is φ = 132168704.

The previous prime is 495634553. The next prime is 495634591. The reversal of 495634560 is 65436594.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127152 + ... + 130991.

It is an arithmetic number, because the mean of its divisors is an integer number (24685020).

Almost surely, 2495634560 is an apocalyptic number.

495634560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

495634560 is an abundant number, since it is smaller than the sum of its proper divisors (1084206720).

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

495634560 is a wasteful number, since it uses less digits than its factorization.

495634560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258165 (or 258153 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The square root of 495634560 is about 22262.8515693745. The cubic root of 495634560 is about 791.3838693458.

The spelling of 495634560 in words is "four hundred ninety-five million, six hundred thirty-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 258143 516286 774429 1032572 1290715 1548858 2065144 2581430 3097716 3872145 4130288 5162860 6195432 7744290 8260576 10325720 12390864 15488580 16521152 20651440 24781728 30977160 33042304 41302880 49563456 61954320 82605760 99126912 123908640 165211520 247817280 495634560