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40782312 = 2333238209
BaseRepresentation
bin1001101110010…
…0100111101000
32211201221211000
42123210213220
540420013222
64014035000
71003433604
oct233444750
984657730
1040782312
112102539a
12117a8a60
1385ab95c
1455b8504
1538a89ac
hex26e49e8

40782312 has 64 divisors (see below), whose sum is σ = 118224000. Its totient is φ = 13001472.

The previous prime is 40782307. The next prime is 40782319. The reversal of 40782312 is 21328704.

40782312 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 (27).

It is not an unprimeable number, because it can be changed into a prime (40782319) 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, 864 + ... + 9072.

It is an arithmetic number, because the mean of its divisors is an integer number (1847250).

Almost surely, 240782312 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 40782312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59112000).

40782312 is an abundant number, since it is smaller than the sum of its proper divisors (77441688).

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

40782312 is a wasteful number, since it uses less digits than its factorization.

40782312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8247 (or 8237 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 40782312 is about 6386.1030370642. The cubic root of 40782312 is about 344.2103679913.

The spelling of 40782312 in words is "forty million, seven hundred eighty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1242 1656 2484 4968 8209 16418 24627 32836 49254 65672 73881 98508 147762 188807 197016 221643 295524 377614 443286 566421 591048 755228 886572 1132842 1510456 1699263 1773144 2265684 3398526 4531368 5097789 6797052 10195578 13594104 20391156 40782312