Search a number
-
+
83196882 = 235295903
BaseRepresentation
bin1001111010101…
…11101111010010
312210112211200000
410331113233102
5132244300012
612131110430
72030106336
oct475275722
9183484600
1083196882
1142a6505a
1223a42416
131430c532
14b0997c6
157485ddc
hex4f57bd2

83196882 has 48 divisors (see below), whose sum is σ = 193415040. Its totient is φ = 26771472.

The previous prime is 83196871. The next prime is 83196917. The reversal of 83196882 is 28869138.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 11143 + ... + 17045.

It is an arithmetic number, because the mean of its divisors is an integer number (4029480).

Almost surely, 283196882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83196882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96707520).

83196882 is an abundant number, since it is smaller than the sum of its proper divisors (110218158).

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

83196882 is a wasteful number, since it uses less digits than its factorization.

83196882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5949 (or 5937 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 83196882 is about 9121.2324825102. The cubic root of 83196882 is about 436.5516996900.

The spelling of 83196882 in words is "eighty-three million, one hundred ninety-six thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 243 261 486 522 783 1566 2349 4698 5903 7047 11806 14094 17709 35418 53127 106254 159381 171187 318762 342374 478143 513561 956286 1027122 1434429 1540683 2868858 3081366 4622049 9244098 13866147 27732294 41598441 83196882