Search a number
-
+
82855224 = 233614207
BaseRepresentation
bin1001111000001…
…00010100111000
312202220111000000
410330010110320
5132202331344
612115513000
72024154264
oct474042470
9182814000
1082855224
11428513a1
12238b8760
131421cb7a
14b00b0a4
157419a69
hex4f04538

82855224 has 56 divisors (see below), whose sum is σ = 232940160. Its totient is φ = 27616464.

The previous prime is 82855217. The next prime is 82855243. The reversal of 82855224 is 42255828.

82855224 is a `hidden beast` number, since 82 + 8 + 552 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1272 + ... + 12935.

Almost surely, 282855224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82855224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116470080).

82855224 is an abundant number, since it is smaller than the sum of its proper divisors (150084936).

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

82855224 is a wasteful number, since it uses less digits than its factorization.

82855224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14231 (or 14212 counting only the distinct ones).

The product of its digits is 51200, while the sum is 36.

The square root of 82855224 is about 9102.4844960044. The cubic root of 82855224 is about 435.9532957856.

The spelling of 82855224 in words is "eighty-two million, eight hundred fifty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 5832 14207 28414 42621 56828 85242 113656 127863 170484 255726 340968 383589 511452 767178 1022904 1150767 1534356 2301534 3068712 3452301 4603068 6904602 9206136 10356903 13809204 20713806 27618408 41427612 82855224