Search a number
-
+
82256540 = 22517241931
BaseRepresentation
bin1001110011100…
…10001010011100
312201210001202112
410321302022130
5132024202130
612055013152
72016111662
oct471621234
9181701675
1082256540
1142482613
122366a1b8
1314070512
14acd2c32
15734c495
hex4e7229c

82256540 has 24 divisors (see below), whose sum is σ = 182900592. Its totient is φ = 30967040.

The previous prime is 82256509. The next prime is 82256563. The reversal of 82256540 is 4565228.

It is a super-2 number, since 2×822565402 = 13532276745543200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82256497 and 82256506.

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 7 ways as a sum of consecutive naturals, for example, 120626 + ... + 121305.

It is an arithmetic number, because the mean of its divisors is an integer number (7620858).

Almost surely, 282256540 is an apocalyptic number.

It is an amenable number.

82256540 is an abundant number, since it is smaller than the sum of its proper divisors (100644052).

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

82256540 is a wasteful number, since it uses less digits than its factorization.

82256540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241957 (or 241955 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 82256540 is about 9069.5391283130. The cubic root of 82256540 is about 434.9007392314.

The spelling of 82256540 in words is "eighty-two million, two hundred fifty-six thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 241931 483862 967724 1209655 2419310 4112827 4838620 8225654 16451308 20564135 41128270 82256540