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40811392 = 271997173
BaseRepresentation
bin1001101110101…
…1101110000000
32211210102201001
42123223232000
540421431032
64014421344
71003614436
oct233535600
984712631
1040811392
1121045226
1211801854
1385bbc6b
1455c4d56
1538b23e7
hex26ebb80

40811392 has 64 divisors (see below), whose sum is σ = 86965200. Its totient is φ = 19021824.

The previous prime is 40811383. The next prime is 40811399. The reversal of 40811392 is 29311804.

It is a happy number.

40811392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 40811392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40811399) 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 7 ways as a sum of consecutive naturals, for example, 235818 + ... + 235990.

Almost surely, 240811392 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 40811392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43482600).

40811392 is an abundant number, since it is smaller than the sum of its proper divisors (46153808).

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

40811392 is a wasteful number, since it uses less digits than its factorization.

40811392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 40811392 is about 6388.3794502205. The cubic root of 40811392 is about 344.2921621059.

The spelling of 40811392 in words is "forty million, eight hundred eleven thousand, three hundred ninety-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 97 128 152 173 194 304 346 388 608 692 776 1216 1384 1552 1843 2432 2768 3104 3287 3686 5536 6208 6574 7372 11072 12416 13148 14744 16781 22144 26296 29488 33562 52592 58976 67124 105184 117952 134248 210368 235904 268496 318839 420736 536992 637678 1073984 1275356 2147968 2550712 5101424 10202848 20405696 40811392