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82252278 = 23223613257
BaseRepresentation
bin1001110011100…
…01000111110110
312201202211220200
410321301013312
5132024033103
612054541330
72016063363
oct471610766
9181684820
1082252278
114247a399
1223667846
131406b5b4
14acd146a
15734b0a3
hex4e711f6

82252278 has 48 divisors (see below), whose sum is σ = 189068256. Its totient is φ = 25787520.

The previous prime is 82252271. The next prime is 82252283. The reversal of 82252278 is 87225228.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82252271) 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, 23626 + ... + 26882.

It is an arithmetic number, because the mean of its divisors is an integer number (3938922).

Almost surely, 282252278 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82252278, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94534128).

82252278 is an abundant number, since it is smaller than the sum of its proper divisors (106815978).

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

82252278 is a wasteful number, since it uses less digits than its factorization.

82252278 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3349 (or 3346 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 82252278 is about 9069.3041629444. The cubic root of 82252278 is about 434.8932278572.

The spelling of 82252278 in words is "eighty-two million, two hundred fifty-two thousand, two hundred seventy-eight".

Divisors: 1 2 3 6 9 18 23 46 61 69 122 138 183 207 366 414 549 1098 1403 2806 3257 4209 6514 8418 9771 12627 19542 25254 29313 58626 74911 149822 198677 224733 397354 449466 596031 674199 1192062 1348398 1788093 3576186 4569571 9139142 13708713 27417426 41126139 82252278