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496096947 = 3389431479
BaseRepresentation
bin11101100100011…
…101011010110011
31021120111100002000
4131210131122303
52004000100242
6121121025043
715202516533
oct3544353263
91246440060
10496096947
11235040a85
1211a185183
137ba196b8
1449c5b4c3
152d846a4c
hex1d91d6b3

496096947 has 32 divisors (see below), whose sum is σ = 746496000. Its totient is φ = 325575360.

The previous prime is 496096943. The next prime is 496096963. The reversal of 496096947 is 749690694.

It is not a de Polignac number, because 496096947 - 22 = 496096943 is a prime.

It is a super-2 number, since 2×4960969472 = 492224361645441618, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 496096893 and 496096902.

It is not an unprimeable number, because it can be changed into a prime (496096943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1035454 + ... + 1035932.

It is an arithmetic number, because the mean of its divisors is an integer number (23328000).

Almost surely, 2496096947 is an apocalyptic number.

496096947 is a deficient number, since it is larger than the sum of its proper divisors (250399053).

496096947 is a wasteful number, since it uses less digits than its factorization.

496096947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 496096947 is about 22273.2338693778. The cubic root of 496096947 is about 791.6298919255.

The spelling of 496096947 in words is "four hundred ninety-six million, ninety-six thousand, nine hundred forty-seven".

Divisors: 1 3 9 27 89 267 431 479 801 1293 1437 2403 3879 4311 11637 12933 38359 42631 115077 127893 206449 345231 383679 619347 1035693 1151037 1858041 5574123 18373961 55121883 165365649 496096947