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82198662 = 23713151997
BaseRepresentation
bin1001110011001…
…00000010000110
312201200010100220
410321210002012
5132020324122
612053445210
72015451150
oct471440206
9181603326
1082198662
1142443087
1223640806
1314050080
14acb9ad0
15733a25c
hex4e64086

82198662 has 64 divisors (see below), whose sum is σ = 203879424. Its totient is φ = 21513600.

The previous prime is 82198661. The next prime is 82198663. The reversal of 82198662 is 26689128.

It is an interprime number because it is at equal distance from previous prime (82198661) and next prime (82198663).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82198661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81948 + ... + 82944.

It is an arithmetic number, because the mean of its divisors is an integer number (3185616).

Almost surely, 282198662 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82198662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101939712).

82198662 is an abundant number, since it is smaller than the sum of its proper divisors (121680762).

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

82198662 is a wasteful number, since it uses less digits than its factorization.

82198662 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173.

The product of its digits is 82944, while the sum is 42.

The square root of 82198662 is about 9066.3477762548. The cubic root of 82198662 is about 434.7987125273.

The spelling of 82198662 in words is "eighty-two million, one hundred ninety-eight thousand, six hundred sixty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 151 182 273 302 453 546 906 997 1057 1963 1994 2114 2991 3171 3926 5889 5982 6342 6979 11778 12961 13741 13958 20937 25922 27482 38883 41223 41874 77766 82446 90727 150547 181454 272181 301094 451641 544362 903282 1053829 1957111 2107658 3161487 3914222 5871333 6322974 11742666 13699777 27399554 41099331 82198662