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83250832 = 24779972
BaseRepresentation
bin1001111011001…
…00111010010000
312210122120200011
410331210322100
5132303011312
612132204304
72030422540
oct475447220
9183576604
1083250832
1142aa1645
1223a69694
131432ac62
14b0b1320
157496da7
hex4f64e90

83250832 has 60 divisors (see below), whose sum is σ = 188618880. Its totient is φ = 34864128.

The previous prime is 83250767. The next prime is 83250877. The reversal of 83250832 is 23805238.

It is a junction number, because it is equal to n+sod(n) for n = 83250794 and 83250803.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 858208 + ... + 858304.

It is an arithmetic number, because the mean of its divisors is an integer number (3143648).

Almost surely, 283250832 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 83250832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94309440).

83250832 is an abundant number, since it is smaller than the sum of its proper divisors (105368048).

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

83250832 is an equidigital number, since it uses as much as digits as its factorization.

83250832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 83250832 is about 9124.1893886526. The cubic root of 83250832 is about 436.6460416677.

The spelling of 83250832 in words is "eighty-three million, two hundred fifty thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 79 97 112 158 194 316 388 553 632 679 776 1106 1264 1358 1552 2212 2716 4424 5432 7663 8848 9409 10864 15326 18818 30652 37636 53641 61304 65863 75272 107282 122608 131726 150544 214564 263452 429128 526904 743311 858256 1053808 1486622 2973244 5203177 5946488 10406354 11892976 20812708 41625416 83250832