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82683198 = 232132291543
BaseRepresentation
bin1001110110110…
…10010100111110
312202120202000200
410323122110332
5132131330243
612112104330
72022536613
oct473322476
9182522020
1082683198
1142744124
12238350a6
131418c790
14ada450a
1573d3ad3
hex4eda53e

82683198 has 48 divisors (see below), whose sum is σ = 193895520. Its totient is φ = 25313472.

The previous prime is 82683191. The next prime is 82683239. The reversal of 82683198 is 89138628.

It is a super-2 number, since 2×826831982 = 13673022463014408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82683191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52815 + ... + 54357.

It is an arithmetic number, because the mean of its divisors is an integer number (4039490).

Almost surely, 282683198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82683198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96947760).

82683198 is an abundant number, since it is smaller than the sum of its proper divisors (111212322).

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

82683198 is a wasteful number, since it uses less digits than its factorization.

82683198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793 (or 1790 counting only the distinct ones).

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

The square root of 82683198 is about 9093.0301880066. The cubic root of 82683198 is about 435.6513745132.

The spelling of 82683198 in words is "eighty-two million, six hundred eighty-three thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 229 234 458 687 1374 1543 2061 2977 3086 4122 4629 5954 8931 9258 13887 17862 20059 26793 27774 40118 53586 60177 120354 180531 353347 361062 706694 1060041 2120082 3180123 4593511 6360246 9187022 13780533 27561066 41341599 82683198