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249528401 is a prime number
BaseRepresentation
bin11101101111110…
…00000001010001
3122101112100121122
432313320001101
51002334402101
640432132025
76116646023
oct1667700121
9571470548
10249528401
11118941421
126b697015
133c908b55
14251d6013
1516d8e51b
hexedf8051

249528401 has 2 divisors, whose sum is σ = 249528402. Its totient is φ = 249528400.

The previous prime is 249528371. The next prime is 249528413. The reversal of 249528401 is 104825942.

249528401 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., 166281025 + 83247376 = 12895^2 + 9124^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-249528401 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (249528451) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124764200 + 124764201.

It is an arithmetic number, because the mean of its divisors is an integer number (124764201).

Almost surely, 2249528401 is an apocalyptic number.

It is an amenable number.

249528401 is a deficient number, since it is larger than the sum of its proper divisors (1).

249528401 is an equidigital number, since it uses as much as digits as its factorization.

249528401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 249528401 is about 15796.4679912948. The cubic root of 249528401 is about 629.5641572693.

The spelling of 249528401 in words is "two hundred forty-nine million, five hundred twenty-eight thousand, four hundred one".