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253842401 is a prime number
BaseRepresentation
bin11110010000101…
…01001111100001
3122200122112022102
433020111033201
51004440424101
641104420145
76201424211
oct1710251741
9580575272
10253842401
1112031860a
1271017655
1340789607
14259da241
151744286b
hexf2153e1

253842401 has 2 divisors, whose sum is σ = 253842402. Its totient is φ = 253842400.

The previous prime is 253842397. The next prime is 253842427. The reversal of 253842401 is 104248352.

It is a happy number.

253842401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 221295376 + 32547025 = 14876^2 + 5705^2 .

It is a cyclic number.

It is not a de Polignac number, because 253842401 - 22 = 253842397 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (253842301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126921200 + 126921201.

It is an arithmetic number, because the mean of its divisors is an integer number (126921201).

Almost surely, 2253842401 is an apocalyptic number.

It is an amenable number.

253842401 is a deficient number, since it is larger than the sum of its proper divisors (1).

253842401 is an equidigital number, since it uses as much as digits as its factorization.

253842401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 253842401 is about 15932.4323629507. The cubic root of 253842401 is about 633.1715446078.

The spelling of 253842401 in words is "two hundred fifty-three million, eight hundred forty-two thousand, four hundred one".