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264282401 is a prime number
BaseRepresentation
bin11111100000010…
…10000100100001
3200102021221022002
433300022010201
51020124014101
642120253345
76356235425
oct1760120441
9612257262
10264282401
111261a9309
1274611255
13429a3526
1427156b85
1518305d6b
hexfc0a121

264282401 has 2 divisors, whose sum is σ = 264282402. Its totient is φ = 264282400.

The previous prime is 264282383. The next prime is 264282407. The reversal of 264282401 is 104282462.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 151413025 + 112869376 = 12305^2 + 10624^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-264282401 is a prime.

It is not a weakly prime, because it can be changed into another prime (264282407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132141200 + 132141201.

It is an arithmetic number, because the mean of its divisors is an integer number (132141201).

Almost surely, 2264282401 is an apocalyptic number.

It is an amenable number.

264282401 is a deficient number, since it is larger than the sum of its proper divisors (1).

264282401 is an equidigital number, since it uses as much as digits as its factorization.

264282401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 264282401 is about 16256.7647765476. The cubic root of 264282401 is about 641.7355246133.

The spelling of 264282401 in words is "two hundred sixty-four million, two hundred eighty-two thousand, four hundred one".