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40366112 = 2537103331
BaseRepresentation
bin1001100111111…
…1000000100000
32210221210220012
42121333000200
540313203422
64001104052
71000051313
oct231770040
983853805
1040366112
1120870726
1211628028
138494397
14550a97a
1538254e2
hex267f020

40366112 has 48 divisors (see below), whose sum is σ = 82660032. Its totient is φ = 19388160.

The previous prime is 40366097. The next prime is 40366129. The reversal of 40366112 is 21166304.

It is a happy number.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121787 + ... + 122117.

It is an arithmetic number, because the mean of its divisors is an integer number (1722084).

Almost surely, 240366112 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 40366112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41330016).

40366112 is an abundant number, since it is smaller than the sum of its proper divisors (42293920).

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

40366112 is a wasteful number, since it uses less digits than its factorization.

40366112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 40366112 is about 6353.4330877094. The cubic root of 40366112 is about 343.0354265896.

The spelling of 40366112 in words is "forty million, three hundred sixty-six thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 37 74 103 148 206 296 331 412 592 662 824 1184 1324 1648 2648 3296 3811 5296 7622 10592 12247 15244 24494 30488 34093 48988 60976 68186 97976 121952 136372 195952 272744 391904 545488 1090976 1261441 2522882 5045764 10091528 20183056 40366112