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42826801 is a prime number
BaseRepresentation
bin1010001101011…
…1110000110001
32222120211022211
42203113300301
541430424201
64125532121
71030010323
oct243276061
988524284
1042826801
11221a1456
1212414041
138b46404
14598b613
153b5e651
hex28d7c31

42826801 has 2 divisors, whose sum is σ = 42826802. Its totient is φ = 42826800.

The previous prime is 42826787. The next prime is 42826811. The reversal of 42826801 is 10862824.

42826801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39125025 + 3701776 = 6255^2 + 1924^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42826801 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (42826811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21413400 + 21413401.

It is an arithmetic number, because the mean of its divisors is an integer number (21413401).

Almost surely, 242826801 is an apocalyptic number.

It is an amenable number.

42826801 is a deficient number, since it is larger than the sum of its proper divisors (1).

42826801 is an equidigital number, since it uses as much as digits as its factorization.

42826801 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 31.

The square root of 42826801 is about 6544.2188991506. The cubic root of 42826801 is about 349.8687970812.

The spelling of 42826801 in words is "forty-two million, eight hundred twenty-six thousand, eight hundred one".