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496401461 is a prime number
BaseRepresentation
bin11101100101100…
…111110000110101
31021121001210210022
4131211213300311
52004034321321
6121131334525
715205225403
oct3545476065
91247053708
10496401461
11235229846
1211a2b1445
137bac519a
1449cda473
152d8a6dab
hex1d967c35

496401461 has 2 divisors, whose sum is σ = 496401462. Its totient is φ = 496401460.

The previous prime is 496401443. The next prime is 496401511. The reversal of 496401461 is 164104694.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 437019025 + 59382436 = 20905^2 + 7706^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-496401461 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (496401401) 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 as a sum of consecutive naturals, namely, 248200730 + 248200731.

It is an arithmetic number, because the mean of its divisors is an integer number (248200731).

Almost surely, 2496401461 is an apocalyptic number.

It is an amenable number.

496401461 is a deficient number, since it is larger than the sum of its proper divisors (1).

496401461 is an equidigital number, since it uses as much as digits as its factorization.

496401461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 496401461 is about 22280.0686937900. The cubic root of 496401461 is about 791.7918314283.

The spelling of 496401461 in words is "four hundred ninety-six million, four hundred one thousand, four hundred sixty-one".