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258446441 = 1122135921
BaseRepresentation
bin11110110011110…
…01010001101001
3200000022102212102
433121321101221
51012130241231
641351223145
76255521111
oct1731712151
9600272772
10258446441
11122982700
1272677ab5
134170c0b6
1426478041
1517a51acb
hexf679469

258446441 has 6 divisors (see below), whose sum is σ = 284077626. Its totient is φ = 234951200.

The previous prime is 258446437. The next prime is 258446459. The reversal of 258446441 is 144644852.

It can be written as a sum of positive squares in only one way, i.e., 162817600 + 95628841 = 12760^2 + 9779^2 .

It is not a de Polignac number, because 258446441 - 22 = 258446437 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 258446395 and 258446404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258446431) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1067840 + ... + 1068081.

It is an arithmetic number, because the mean of its divisors is an integer number (47346271).

Almost surely, 2258446441 is an apocalyptic number.

It is an amenable number.

258446441 is a deficient number, since it is larger than the sum of its proper divisors (25631185).

258446441 is a wasteful number, since it uses less digits than its factorization.

258446441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2135943 (or 2135932 counting only the distinct ones).

The product of its digits is 122880, while the sum is 38.

The square root of 258446441 is about 16076.2694988607. The cubic root of 258446441 is about 636.9766590999.

The spelling of 258446441 in words is "two hundred fifty-eight million, four hundred forty-six thousand, four hundred forty-one".

Divisors: 1 11 121 2135921 23495131 258446441