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258896090 = 25198316417
BaseRepresentation
bin11110110111001…
…11000011011010
3200001011021200002
433123213003122
51012234133330
641405013002
76262403045
oct1733470332
9601137602
10258896090
1112315a512
1272854162
134183896b
1426553c5c
1517adee45
hexf6e70da

258896090 has 32 divisors (see below), whose sum is σ = 496480320. Its totient is φ = 96920064.

The previous prime is 258896089. The next prime is 258896093. The reversal of 258896090 is 90698852.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (258896093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7562 + ... + 23978.

It is an arithmetic number, because the mean of its divisors is an integer number (15515010).

Almost surely, 2258896090 is an apocalyptic number.

258896090 is a deficient number, since it is larger than the sum of its proper divisors (237584230).

258896090 is a wasteful number, since it uses less digits than its factorization.

258896090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16526.

The product of its (nonzero) digits is 311040, while the sum is 47.

The square root of 258896090 is about 16090.2482889482. The cubic root of 258896090 is about 637.3458522597.

The spelling of 258896090 in words is "two hundred fifty-eight million, eight hundred ninety-six thousand, ninety".

Divisors: 1 2 5 10 19 38 83 95 166 190 415 830 1577 3154 7885 15770 16417 32834 82085 164170 311923 623846 1362611 1559615 2725222 3119230 6813055 13626110 25889609 51779218 129448045 258896090