Search a number
-
+
40645242 = 232111031993
BaseRepresentation
bin1001101100001…
…1001001111010
32211110222210100
42123003021322
540401121432
64011100230
71002323151
oct233031172
984428710
1040645242
1120a41410
1211741676
138561451
145580598
15387d07c
hex26c327a

40645242 has 48 divisors (see below), whose sum is σ = 97051968. Its totient is φ = 12191040.

The previous prime is 40645229. The next prime is 40645261. The reversal of 40645242 is 24254604.

40645242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 19398 + ... + 21390.

It is an arithmetic number, because the mean of its divisors is an integer number (2021916).

Almost surely, 240645242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40645242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48525984).

40645242 is an abundant number, since it is smaller than the sum of its proper divisors (56406726).

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

40645242 is a wasteful number, since it uses less digits than its factorization.

40645242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 40645242 is about 6375.3621073630. The cubic root of 40645242 is about 343.8243029683.

Adding to 40645242 its reverse (24254604), we get a palindrome (64899846).

The spelling of 40645242 in words is "forty million, six hundred forty-five thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 103 198 206 309 618 927 1133 1854 1993 2266 3399 3986 5979 6798 10197 11958 17937 20394 21923 35874 43846 65769 131538 197307 205279 394614 410558 615837 1231674 1847511 2258069 3695022 4516138 6774207 13548414 20322621 40645242