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82198845 = 32519127757
BaseRepresentation
bin1001110011001…
…00000100111101
312201200010121200
410321210010331
5132020330340
612053450113
72015451531
oct471440475
9181603550
1082198845
1142443233
1223640939
1314050191
14acb9bc1
15733a330
hex4e6413d

82198845 has 48 divisors (see below), whose sum is σ = 151357440. Its totient is φ = 41150592.

The previous prime is 82198829. The next prime is 82198861. The reversal of 82198845 is 54889128.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82198829) and next prime (82198861).

It is not a de Polignac number, because 82198845 - 24 = 82198829 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 82198845.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108207 + ... + 108963.

It is an arithmetic number, because the mean of its divisors is an integer number (3153280).

Almost surely, 282198845 is an apocalyptic number.

It is an amenable number.

82198845 is a deficient number, since it is larger than the sum of its proper divisors (69158595).

82198845 is a wasteful number, since it uses less digits than its factorization.

82198845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 911 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The square root of 82198845 is about 9066.3578685159. The cubic root of 82198845 is about 434.7990351932.

The spelling of 82198845 in words is "eighty-two million, one hundred ninety-eight thousand, eight hundred forty-five".

Divisors: 1 3 5 9 15 19 45 57 95 127 171 285 381 635 757 855 1143 1905 2271 2413 3785 5715 6813 7239 11355 12065 14383 21717 34065 36195 43149 71915 96139 108585 129447 215745 288417 480695 647235 865251 1442085 1826641 4326255 5479923 9133205 16439769 27399615 82198845