Search a number
-
+
38084412 = 22323433209
BaseRepresentation
bin1001000101000…
…1111100111100
32122122212222210
42101101330330
534222200122
63440140420
7641466162
oct221217474
978585883
1038084412
111a552423
1210907710
137b75972
1450b5232
15352440c
hex2451f3c

38084412 has 48 divisors (see below), whose sum is σ = 94913280. Its totient is φ = 11856768.

The previous prime is 38084407. The next prime is 38084413. The reversal of 38084412 is 21448083.

38084412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 38084412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38084413) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10264 + ... + 13472.

It is an arithmetic number, because the mean of its divisors is an integer number (1977360).

Almost surely, 238084412 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 38084412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47456640).

38084412 is an abundant number, since it is smaller than the sum of its proper divisors (56828868).

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

38084412 is a wasteful number, since it uses less digits than its factorization.

38084412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3282 (or 3280 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 38084412 is about 6171.2569222161. The cubic root of 38084412 is about 336.4462961116.

The spelling of 38084412 in words is "thirty-eight million, eighty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 23 43 46 69 86 92 129 138 172 258 276 516 989 1978 2967 3209 3956 5934 6418 9627 11868 12836 19254 38508 73807 137987 147614 221421 275974 295228 413961 442842 551948 827922 885684 1655844 3173701 6347402 9521103 12694804 19042206 38084412