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83811882 = 23711374903
BaseRepresentation
bin1001111111011…
…01111000101010
312211201002021210
410333231320222
5132423440012
612152213550
72035250340
oct477557052
9184632253
1083811882
1143345120
122409a2b6
131449643b
14b1b9990
15755823c
hex4fede2a

83811882 has 64 divisors (see below), whose sum is σ = 214677504. Its totient is φ = 21176640.

The previous prime is 83811863. The next prime is 83811911. The reversal of 83811882 is 28811838.

It is a self number, because there is not a number n which added to its sum of digits gives 83811882.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 14643 + ... + 19545.

It is an arithmetic number, because the mean of its divisors is an integer number (3354336).

Almost surely, 283811882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83811882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107338752).

83811882 is an abundant number, since it is smaller than the sum of its proper divisors (130865622).

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

83811882 is a wasteful number, since it uses less digits than its factorization.

83811882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4963.

The product of its digits is 24576, while the sum is 39.

The square root of 83811882 is about 9154.8829593829. The cubic root of 83811882 is about 437.6247385268.

It can be divided in two parts, 838 and 11882, that added together give a triangular number (12720 = T159).

The spelling of 83811882 in words is "eighty-three million, eight hundred eleven thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 37 42 66 74 77 111 154 222 231 259 407 462 518 777 814 1221 1554 2442 2849 4903 5698 8547 9806 14709 17094 29418 34321 53933 68642 102963 107866 161799 181411 205926 323598 362822 377531 544233 755062 1088466 1132593 1269877 1995521 2265186 2539754 3809631 3991042 5986563 7619262 11973126 13968647 27937294 41905941 83811882