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258299041 = 721113191193
BaseRepresentation
bin11110110010101…
…01010010100001
3200000000221200011
433121111102201
51012111032131
641344124521
76254335300
oct1731252241
9600027604
10258299041
11122891990
1272606741
1341689c90
142643a437
1517a230b1
hexf6554a1

258299041 has 48 divisors (see below), whose sum is σ = 356686848. Its totient is φ = 183859200.

The previous prime is 258299033. The next prime is 258299087. The reversal of 258299041 is 140992852.

258299041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 258299041 - 23 = 258299033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 258298985 and 258299003.

It is not an unprimeable number, because it can be changed into a prime (258299141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1338241 + ... + 1338433.

It is an arithmetic number, because the mean of its divisors is an integer number (7430976).

Almost surely, 2258299041 is an apocalyptic number.

It is an amenable number.

258299041 is a deficient number, since it is larger than the sum of its proper divisors (98387807).

258299041 is a wasteful number, since it uses less digits than its factorization.

258299041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 258299041 is about 16071.6844481218. The cubic root of 258299041 is about 636.8555402401.

The spelling of 258299041 in words is "two hundred fifty-eight million, two hundred ninety-nine thousand, forty-one".

Divisors: 1 7 11 13 49 77 91 143 191 193 539 637 1001 1337 1351 2101 2123 2483 2509 7007 9359 9457 14707 14861 17381 17563 27313 27599 36863 102949 104027 121667 122941 191191 193193 258041 405493 479219 1338337 1352351 1806287 2838451 3354533 5271409 19869157 23481731 36899863 258299041