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495967759 = 7261165931
BaseRepresentation
bin11101100011111…
…101111000001111
31021120020202212021
4131203331320033
52003431432014
6121114151011
715201441100
oct3543757017
91246222767
10495967759
11234a62a11
1211a122467
137b9a2961
1449c263a7
152d81d624
hex1d8fde0f

495967759 has 12 divisors (see below), whose sum is σ = 586403688. Its totient is φ = 418143600.

The previous prime is 495967757. The next prime is 495967783. The reversal of 495967759 is 957769594.

It is not a de Polignac number, because 495967759 - 21 = 495967757 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 495967697 and 495967706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495967751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79977 + ... + 85954.

It is an arithmetic number, because the mean of its divisors is an integer number (48866974).

Almost surely, 2495967759 is an apocalyptic number.

495967759 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

495967759 is a deficient number, since it is larger than the sum of its proper divisors (90435929).

495967759 is a wasteful number, since it uses less digits than its factorization.

495967759 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166006 (or 165999 counting only the distinct ones).

The product of its digits is 21432600, while the sum is 61.

The square root of 495967759 is about 22270.3336077392. Note that the first 3 decimals coincide. The cubic root of 495967759 is about 791.5611701688.

The spelling of 495967759 in words is "four hundred ninety-five million, nine hundred sixty-seven thousand, seven hundred fifty-nine".

Divisors: 1 7 49 61 427 2989 165931 1161517 8130619 10121791 70852537 495967759