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496046961 = 32173242137
BaseRepresentation
bin11101100100010…
…001001101110001
31021120101210111200
4131210101031301
52003442000321
6121120001413
715202221024
oct3544211561
91246353450
10496046961
11235007473
1211a160269
137b9cca17
1449c471bb
152d836d26
hex1d911371

496046961 has 12 divisors (see below), whose sum is σ = 758660292. Its totient is φ = 311245056.

The previous prime is 496046959. The next prime is 496046963. The reversal of 496046961 is 169640694.

It is an interprime number because it is at equal distance from previous prime (496046959) and next prime (496046963).

It can be written as a sum of positive squares in 2 ways, for example, as 434972736 + 61074225 = 20856^2 + 7815^2 .

It is not a de Polignac number, because 496046961 - 21 = 496046959 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (496046963) 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, 1620916 + ... + 1621221.

It is an arithmetic number, because the mean of its divisors is an integer number (63221691).

Almost surely, 2496046961 is an apocalyptic number.

It is an amenable number.

496046961 is a deficient number, since it is larger than the sum of its proper divisors (262613331).

496046961 is a wasteful number, since it uses less digits than its factorization.

496046961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3242160 (or 3242157 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 496046961 is about 22272.1117319396. Note that the first 3 decimals coincide. The cubic root of 496046961 is about 791.6033032106.

It can be divided in two parts, 49604 and 6961, that added together give a palindrome (56565).

The spelling of 496046961 in words is "four hundred ninety-six million, forty-six thousand, nine hundred sixty-one".

Divisors: 1 3 9 17 51 153 3242137 9726411 29179233 55116329 165348987 496046961