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82340262 = 23219713391
BaseRepresentation
bin1001110100001…
…10100110100110
312201221022121100
410322012212212
5132034342022
612100500530
72016611034
oct472064646
9181838540
1082340262
114252a504
12236aa746
131409c664
14ad15554
1573671ac
hex4e869a6

82340262 has 48 divisors (see below), whose sum is σ = 190494720. Its totient is φ = 25628400.

The previous prime is 82340261. The next prime is 82340263. The reversal of 82340262 is 26204328.

It is an interprime number because it is at equal distance from previous prime (82340261) and next prime (82340263).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82340261) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 22587 + ... + 25977.

It is an arithmetic number, because the mean of its divisors is an integer number (3968640).

Almost surely, 282340262 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82340262, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95247360).

82340262 is an abundant number, since it is smaller than the sum of its proper divisors (108154458).

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

82340262 is a wasteful number, since it uses less digits than its factorization.

82340262 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3489 (or 3486 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 82340262 is about 9074.1535142403. The cubic root of 82340262 is about 435.0482388042.

The spelling of 82340262 in words is "eighty-two million, three hundred forty thousand, two hundred sixty-two".

Divisors: 1 2 3 6 9 18 19 38 57 71 114 142 171 213 342 426 639 1278 1349 2698 3391 4047 6782 8094 10173 12141 20346 24282 30519 61038 64429 128858 193287 240761 386574 481522 579861 722283 1159722 1444566 2166849 4333698 4574459 9148918 13723377 27446754 41170131 82340262