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252424801 is a prime number
BaseRepresentation
bin11110000101110…
…11001001100001
3122120222111201201
433002323021201
51004110043201
641014201201
76153401236
oct1702731141
9576874651
10252424801
1111a53a542
1270653201
13403b12b5
142574b78d
1517262801
hexf0bb261

252424801 has 2 divisors, whose sum is σ = 252424802. Its totient is φ = 252424800.

The previous prime is 252424769. The next prime is 252424813. The reversal of 252424801 is 108424252.

252424801 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., 144576576 + 107848225 = 12024^2 + 10385^2 .

It is a cyclic number.

It is not a de Polignac number, because 252424801 - 25 = 252424769 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 252424801.

It is not a weakly prime, because it can be changed into another prime (252424871) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126212400 + 126212401.

It is an arithmetic number, because the mean of its divisors is an integer number (126212401).

Almost surely, 2252424801 is an apocalyptic number.

It is an amenable number.

252424801 is a deficient number, since it is larger than the sum of its proper divisors (1).

252424801 is an equidigital number, since it uses as much as digits as its factorization.

252424801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5120, while the sum is 28.

The square root of 252424801 is about 15887.8822062602. The cubic root of 252424801 is about 631.9906806095.

The spelling of 252424801 in words is "two hundred fifty-two million, four hundred twenty-four thousand, eight hundred one".