Search a number
-
+
36055044 = 2234257433
BaseRepresentation
bin1000100110001…
…0100000000100
32111211210020000
42021202200010
533212230134
63324441300
7615314514
oct211424004
974753200
1036055044
1119396763
12100a9230
13761505c
144b07844
153272e99
hex2262804

36055044 has 60 divisors (see below), whose sum is σ = 94840284. Its totient is φ = 11943936.

The previous prime is 36055043. The next prime is 36055069. The reversal of 36055044 is 44055063.

36055044 is a `hidden beast` number, since 3 + 605 + 50 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21902400 + 14152644 = 4680^2 + 3762^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 36054999 and 36055017.

It is not an unprimeable number, because it can be changed into a prime (36055043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 83052 + ... + 83484.

Almost surely, 236055044 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 36055044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47420142).

36055044 is an abundant number, since it is smaller than the sum of its proper divisors (58785240).

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

36055044 is a wasteful number, since it uses less digits than its factorization.

36055044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 36055044 is about 6004.5852479584. The cubic root of 36055044 is about 330.3609274168.

It can be divided in two parts, 3605 and 5044, that added together give a square (8649 = 932).

The spelling of 36055044 in words is "thirty-six million, fifty-five thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 257 324 433 514 771 866 1028 1299 1542 1732 2313 2598 3084 3897 4626 5196 6939 7794 9252 11691 13878 15588 20817 23382 27756 35073 41634 46764 70146 83268 111281 140292 222562 333843 445124 667686 1001529 1335372 2003058 3004587 4006116 6009174 9013761 12018348 18027522 36055044