Search a number
-
+
82475328 = 26313173191
BaseRepresentation
bin1001110101001…
…11100101000000
312202012011212210
410322213211000
5132103202303
612103422120
72021012565
oct472474500
9182164783
1082475328
1142611a31
1223754940
1314118c90
14ad4c86c
157392203
hex4ea7940

82475328 has 112 divisors (see below), whose sum is σ = 237597696. Its totient is φ = 25098240.

The previous prime is 82475303. The next prime is 82475329. The reversal of 82475328 is 82357428.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82475329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 431713 + ... + 431903.

It is an arithmetic number, because the mean of its divisors is an integer number (2121408).

Almost surely, 282475328 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 82475328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118798848).

82475328 is an abundant number, since it is smaller than the sum of its proper divisors (155122368).

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

82475328 is a wasteful number, since it uses less digits than its factorization.

82475328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 382 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 82475328 is about 9081.5928118365. The cubic root of 82475328 is about 435.2859844883.

The spelling of 82475328 in words is "eighty-two million, four hundred seventy-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 173 191 192 208 312 346 382 416 519 573 624 692 764 832 1038 1146 1248 1384 1528 2076 2249 2292 2483 2496 2768 3056 4152 4498 4584 4966 5536 6112 6747 7449 8304 8996 9168 9932 11072 12224 13494 14898 16608 17992 18336 19864 26988 29796 33043 33216 35984 36672 39728 53976 59592 66086 71968 79456 99129 107952 119184 132172 143936 158912 198258 215904 238368 264344 396516 429559 431808 476736 528688 793032 859118 1057376 1288677 1586064 1718236 2114752 2577354 3172128 3436472 5154708 6344256 6872944 10309416 13745888 20618832 27491776 41237664 82475328