Search a number
-
+
82848690 = 2335306847
BaseRepresentation
bin1001111000000…
…10101110110010
312202220011001000
410330002232302
5132202124230
612115422430
72024126241
oct474025662
9182804030
1082848690
11428474a1
12238b4a16
1314219bc2
14b008958
157417b60
hex4f02bb2

82848690 has 32 divisors (see below), whose sum is σ = 220930560. Its totient is φ = 22092912.

The previous prime is 82848677. The next prime is 82848697. The reversal of 82848690 is 9684828.

It is a happy number.

82848690 is a `hidden beast` number, since 82 + 8 + 486 + 90 = 666.

It is a super-2 number, since 2×828486902 = 13727810869432200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82848697) 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 15 ways as a sum of consecutive naturals, for example, 153154 + ... + 153693.

It is an arithmetic number, because the mean of its divisors is an integer number (6904080).

Almost surely, 282848690 is an apocalyptic number.

82848690 is an abundant number, since it is smaller than the sum of its proper divisors (138081870).

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

82848690 is a wasteful number, since it uses less digits than its factorization.

82848690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306863 (or 306857 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 82848690 is about 9102.1255759301. The cubic root of 82848690 is about 435.9418356604.

It can be divided in two parts, 82848 and 690, that added together give a palindrome (83538).

The spelling of 82848690 in words is "eighty-two million, eight hundred forty-eight thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 306847 613694 920541 1534235 1841082 2761623 3068470 4602705 5523246 8284869 9205410 13808115 16569738 27616230 41424345 82848690