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258946116 = 2231113150901
BaseRepresentation
bin11110110111100…
…11010001000100
3200001020211021220
433123303101010
51012242233431
641410040340
76263001642
oct1733632104
9601224256
10258946116
11123194060
12728790b0
1341855670
1426568192
1517aeeb96
hexf6f3444

258946116 has 48 divisors (see below), whose sum is σ = 709843008. Its totient is φ = 72432000.

The previous prime is 258946109. The next prime is 258946141. The reversal of 258946116 is 611649852.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73735 + ... + 77166.

It is an arithmetic number, because the mean of its divisors is an integer number (14788396).

Almost surely, 2258946116 is an apocalyptic number.

258946116 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

258946116 is an abundant number, since it is smaller than the sum of its proper divisors (450896892).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

258946116 is a wasteful number, since it uses less digits than its factorization.

258946116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150932 (or 150930 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 258946116 is about 16091.8027579262. The cubic root of 258946116 is about 637.3869006589.

The spelling of 258946116 in words is "two hundred fifty-eight million, nine hundred forty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 1716 150901 301802 452703 603604 905406 1659911 1810812 1961713 3319822 3923426 4979733 5885139 6639644 7846852 9959466 11770278 19918932 21578843 23540556 43157686 64736529 86315372 129473058 258946116