Search a number
-
+
82555452 = 22327833947
BaseRepresentation
bin1001110101110…
…11001000111100
312202100020210100
410322323020330
5132113233302
612105241100
72021465310
oct472731074
9182306710
1082555452
1142667151
1223793190
13141465a5
14ad6db40
1573aad1c
hex4ebb23c

82555452 has 72 divisors (see below), whose sum is σ = 241428096. Its totient is φ = 23297184.

The previous prime is 82555433. The next prime is 82555469. The reversal of 82555452 is 25455528.

It is a happy number.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18943 + ... + 22889.

It is an arithmetic number, because the mean of its divisors is an integer number (3353168).

Almost surely, 282555452 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 82555452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120714048).

82555452 is an abundant number, since it is smaller than the sum of its proper divisors (158872644).

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

82555452 is a wasteful number, since it uses less digits than its factorization.

82555452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4047 (or 4042 counting only the distinct ones).

The product of its digits is 80000, while the sum is 36.

The square root of 82555452 is about 9086.0030816636. The cubic root of 82555452 is about 435.4268976033.

The spelling of 82555452 in words is "eighty-two million, five hundred fifty-five thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 83 84 126 166 249 252 332 498 581 747 996 1162 1494 1743 2324 2988 3486 3947 5229 6972 7894 10458 11841 15788 20916 23682 27629 35523 47364 55258 71046 82887 110516 142092 165774 248661 327601 331548 497322 655202 982803 994644 1310404 1965606 2293207 2948409 3931212 4586414 5896818 6879621 9172828 11793636 13759242 20638863 27518484 41277726 82555452