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83799216 = 24323591621
BaseRepresentation
bin1001111111010…
…10110010110000
312211200102220200
410333222302300
5132423033331
612152035200
72035165404
oct477526260
9184612820
1083799216
1143336656
1224092b00
1314490747
14b1b5104
1575545e6
hex4feacb0

83799216 has 60 divisors (see below), whose sum is σ = 235319760. Its totient is φ = 27838080.

The previous prime is 83799211. The next prime is 83799223. The reversal of 83799216 is 61299738.

It is not an unprimeable number, because it can be changed into a prime (83799211) 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, 50886 + ... + 52506.

It is an arithmetic number, because the mean of its divisors is an integer number (3921996).

Almost surely, 283799216 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 83799216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117659880).

83799216 is an abundant number, since it is smaller than the sum of its proper divisors (151520544).

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

83799216 is a wasteful number, since it uses less digits than its factorization.

83799216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1985 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 83799216 is about 9154.1911712614. The cubic root of 83799216 is about 437.6026921930.

The spelling of 83799216 in words is "eighty-three million, seven hundred ninety-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 359 718 1077 1436 1621 2154 2872 3231 3242 4308 4863 5744 6462 6484 8616 9726 12924 12968 14589 17232 19452 25848 25936 29178 38904 51696 58356 77808 116712 233424 581939 1163878 1745817 2327756 3491634 4655512 5237451 6983268 9311024 10474902 13966536 20949804 27933072 41899608 83799216