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495188064 = 25327245629
BaseRepresentation
bin11101100000111…
…111100001100000
31021111210011022200
4131200333201200
52003232004224
6121045333200
715162012660
oct3540774140
91244704280
10495188064
11234580138
12119a07200
137b78bab7
1449aa21a0
152d7175c9
hex1d83f860

495188064 has 72 divisors (see below), whose sum is σ = 1609367760. Its totient is φ = 141481728.

The previous prime is 495188059. The next prime is 495188069. The reversal of 495188064 is 460881594.

It is an interprime number because it is at equal distance from previous prime (495188059) and next prime (495188069).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×4951880642 = 490422437456136192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495188069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120799 + ... + 124830.

It is an arithmetic number, because the mean of its divisors is an integer number (22352330).

Almost surely, 2495188064 is an apocalyptic number.

It is an amenable number.

495188064 is an abundant number, since it is smaller than the sum of its proper divisors (1114179696).

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

495188064 is a wasteful number, since it uses less digits than its factorization.

495188064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245652 (or 245641 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 495188064 is about 22252.8214840276. The cubic root of 495188064 is about 791.1461566439.

The spelling of 495188064 in words is "four hundred ninety-five million, one hundred eighty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 245629 491258 736887 982516 1473774 1719403 1965032 2210661 2947548 3438806 3930064 4421322 5158209 5895096 6877612 7860128 8842644 10316418 11790192 13755224 15474627 17685288 20632836 23580384 27510448 30949254 35370576 41265672 55020896 61898508 70741152 82531344 123797016 165062688 247594032 495188064