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68833872 = 24322691777
BaseRepresentation
bin1000001101001…
…01001001010000
311210112010022200
410012211021100
5120110140442
610455203200
71464035562
oct406451120
9153463280
1068833872
11359449a8
121b076500
1311350b03
1491db332
15609a34c
hex41a5250

68833872 has 60 divisors (see below), whose sum is σ = 193464180. Its totient is φ = 22846464.

The previous prime is 68833859. The next prime is 68833879. The reversal of 68833872 is 27833886.

It can be written as a sum of positive squares in 2 ways, for example, as 17338896 + 51494976 = 4164^2 + 7176^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68833879) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37848 + ... + 39624.

It is an arithmetic number, because the mean of its divisors is an integer number (3224403).

Almost surely, 268833872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68833872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96732090).

68833872 is an abundant number, since it is smaller than the sum of its proper divisors (124630308).

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

68833872 is a wasteful number, since it uses less digits than its factorization.

68833872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060 (or 2051 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 68833872 is about 8296.6181061924. The cubic root of 68833872 is about 409.8271569686.

The spelling of 68833872 in words is "sixty-eight million, eight hundred thirty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 269 538 807 1076 1614 1777 2152 2421 3228 3554 4304 4842 5331 6456 7108 9684 10662 12912 14216 15993 19368 21324 28432 31986 38736 42648 63972 85296 127944 255888 478013 956026 1434039 1912052 2868078 3824104 4302117 5736156 7648208 8604234 11472312 17208468 22944624 34416936 68833872