Search a number
-
+
40041108 = 22332291619
BaseRepresentation
bin1001100010111…
…1101010010100
32210100022002000
42120233222110
540222303413
63550115300
7664225632
oct230575224
983308060
1040041108
1120669528
12114abb30
1383ac483
145464352
1537ae073
hex262fa94

40041108 has 48 divisors (see below), whose sum is σ = 104328000. Its totient is φ = 13280544.

The previous prime is 40041101. The next prime is 40041121. The reversal of 40041108 is 80114004.

40041108 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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40041101) 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, 23923 + ... + 25541.

It is an arithmetic number, because the mean of its divisors is an integer number (2173500).

Almost surely, 240041108 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 40041108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52164000).

40041108 is an abundant number, since it is smaller than the sum of its proper divisors (64286892).

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

40041108 is a wasteful number, since it uses less digits than its factorization.

40041108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 40041108 is about 6327.8043585433. The cubic root of 40041108 is about 342.1123053765.

The spelling of 40041108 in words is "forty million, forty-one thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 229 458 687 916 1374 1619 2061 2748 3238 4122 4857 6183 6476 8244 9714 12366 14571 19428 24732 29142 43713 58284 87426 174852 370751 741502 1112253 1483004 2224506 3336759 4449012 6673518 10010277 13347036 20020554 40041108