Search a number
-
+
41840384 = 28353463
BaseRepresentation
bin1001111110011…
…0111100000000
32220201201012212
42133212330000
541202343014
64052441252
71015431425
oct237467400
986651185
1041840384
1121688333
1212019228
13888c431
1457b1d4c
153a1723e
hex27e6f00

41840384 has 36 divisors (see below), whose sum is σ = 83934816. Its totient is φ = 20815872.

The previous prime is 41840369. The next prime is 41840389. The reversal of 41840384 is 48304814.

41840384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 41840384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41840389) 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 3 ways as a sum of consecutive naturals, for example, 90137 + ... + 90599.

Almost surely, 241840384 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 41840384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41967408).

41840384 is an abundant number, since it is smaller than the sum of its proper divisors (42094432).

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

41840384 is an equidigital number, since it uses as much as digits as its factorization.

41840384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 41840384 is about 6468.4143342863. The cubic root of 41840384 is about 347.1617646385.

It can be divided in two parts, 41840 and 384, that added together give a palindrome (42224).

The spelling of 41840384 in words is "forty-one million, eight hundred forty thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 256 353 463 706 926 1412 1852 2824 3704 5648 7408 11296 14816 22592 29632 45184 59264 90368 118528 163439 326878 653756 1307512 2615024 5230048 10460096 20920192 41840384