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253874417 is a prime number
BaseRepresentation
bin11110010000111…
…01000011110001
3122200201011020012
433020131003301
51004442440132
641105224305
76201616436
oct1710350361
9580634205
10253874417
1112033a675
1271032095
134079b064
1425a07b8d
151744c0b2
hexf21d0f1

253874417 has 2 divisors, whose sum is σ = 253874418. Its totient is φ = 253874416.

The previous prime is 253874377. The next prime is 253874431. The reversal of 253874417 is 714478352.

253874417 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., 253733041 + 141376 = 15929^2 + 376^2 .

It is a cyclic number.

It is not a de Polignac number, because 253874417 - 216 = 253808881 is a prime.

It is not a weakly prime, because it can be changed into another prime (253874477) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126937208 + 126937209.

It is an arithmetic number, because the mean of its divisors is an integer number (126937209).

Almost surely, 2253874417 is an apocalyptic number.

It is an amenable number.

253874417 is a deficient number, since it is larger than the sum of its proper divisors (1).

253874417 is an equidigital number, since it uses as much as digits as its factorization.

253874417 is an evil number, because the sum of its binary digits is even.

The product of its digits is 188160, while the sum is 41.

The square root of 253874417 is about 15933.4370742787. The cubic root of 253874417 is about 633.1981631815.

The spelling of 253874417 in words is "two hundred fifty-three million, eight hundred seventy-four thousand, four hundred seventeen".