Search a number
-
+
45636836 = 2273293137
BaseRepresentation
bin1010111000010…
…1110011100100
310011212120222012
42232011303210
543140334321
64310053352
71062623000
oct256056344
9104776865
1045636836
11238406a3
121334a258
1395bb45b
1460bd700
15401705b
hex2b85ce4

45636836 has 96 divisors (see below), whose sum is σ = 102144000. Its totient is φ = 17781120.

The previous prime is 45636827. The next prime is 45636847. The reversal of 45636836 is 63863654.

45636836 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 45636793 and 45636802.

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 31 ways as a sum of consecutive naturals, for example, 1233410 + ... + 1233446.

It is an arithmetic number, because the mean of its divisors is an integer number (1064000).

Almost surely, 245636836 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 45636836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51072000).

45636836 is an abundant number, since it is smaller than the sum of its proper divisors (56507164).

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

45636836 is a wasteful number, since it uses less digits than its factorization.

45636836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 106 counting only the distinct ones).

The product of its digits is 311040, while the sum is 41.

The square root of 45636836 is about 6755.5041262662. The cubic root of 45636836 is about 357.3593715556.

The spelling of 45636836 in words is "forty-five million, six hundred thirty-six thousand, eight hundred thirty-six".

Divisors: 1 2 4 7 14 28 29 31 37 49 58 62 74 98 116 124 148 196 203 217 259 343 406 434 518 686 812 868 899 1036 1073 1147 1372 1421 1519 1798 1813 2146 2294 2842 3038 3596 3626 4292 4588 5684 6076 6293 7252 7511 8029 9947 10633 12586 12691 15022 16058 19894 21266 25172 25382 30044 32116 33263 39788 42532 44051 50764 52577 56203 66526 88102 105154 112406 133052 176204 210308 224812 232841 308357 368039 393421 465682 616714 736078 786842 931364 1233428 1472156 1573684 1629887 3259774 6519548 11409209 22818418 45636836