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254052441 = 32294123741
BaseRepresentation
bin11110010010010…
…00100001011001
3122201001012102200
433021020201121
51010014134231
641113120413
76203260446
oct1711104131
9581035380
10254052441
111204513a5
12710b9109
13408310b6
1425a529cd
1517484be6
hexf248859

254052441 has 24 divisors (see below), whose sum is σ = 388893960. Its totient is φ = 159532800.

The previous prime is 254052433. The next prime is 254052443. The reversal of 254052441 is 144250452.

It can be written as a sum of positive squares in 4 ways, for example, as 54819216 + 199233225 = 7404^2 + 14115^2 .

It is not a de Polignac number, because 254052441 - 23 = 254052433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (254052443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1170 + ... + 22571.

It is an arithmetic number, because the mean of its divisors is an integer number (16203915).

Almost surely, 2254052441 is an apocalyptic number.

It is an amenable number.

254052441 is a deficient number, since it is larger than the sum of its proper divisors (134841519).

254052441 is a wasteful number, since it uses less digits than its factorization.

254052441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23817 (or 23814 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 254052441 is about 15939.0225860935. The cubic root of 254052441 is about 633.3461341519.

The spelling of 254052441 in words is "two hundred fifty-four million, fifty-two thousand, four hundred forty-one".

Divisors: 1 3 9 29 41 87 123 261 369 1189 3567 10701 23741 71223 213669 688489 973381 2065467 2920143 6196401 8760429 28228049 84684147 254052441