Search a number
-
+
40505982 = 23112921163
BaseRepresentation
bin1001101010000…
…1001001111110
32211012220202120
42122201021332
540332142412
64004103410
71001203146
oct232411176
984186676
1040505982
1120956820
1211694b66
138512c4a
145545926
153851b8c
hex26a127e

40505982 has 32 divisors (see below), whose sum is σ = 91428480. Its totient is φ = 11850720.

The previous prime is 40505981. The next prime is 40506001. The reversal of 40505982 is 28950504.

40505982 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 (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40505981) 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, 8668 + ... + 12495.

It is an arithmetic number, because the mean of its divisors is an integer number (2857140).

Almost surely, 240505982 is an apocalyptic number.

40505982 is an abundant number, since it is smaller than the sum of its proper divisors (50922498).

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

40505982 is a wasteful number, since it uses less digits than its factorization.

40505982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21208.

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 40505982 is about 6364.4310036326. The cubic root of 40505982 is about 343.4311797869.

The spelling of 40505982 in words is "forty million, five hundred five thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 319 638 957 1914 21163 42326 63489 126978 232793 465586 613727 698379 1227454 1396758 1841181 3682362 6750997 13501994 20252991 40505982