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40804032 = 2634612
BaseRepresentation
bin1001101110100…
…1111011000000
32211210001121110
42123221323000
540421212112
64014323320
71003554123
oct233517300
984701543
1040804032
112103a745
12117b9540
1385b87c9
1455c23ba
1538b013c
hex26e9ec0

40804032 has 42 divisors (see below), whose sum is σ = 108195364. Its totient is φ = 13571840.

The previous prime is 40804031. The next prime is 40804051. The reversal of 40804032 is 23040804.

It is a happy number.

40804032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (40804031) 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 5 ways as a sum of consecutive naturals, for example, 88282 + ... + 88742.

Almost surely, 240804032 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 40804032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54097682).

40804032 is an abundant number, since it is smaller than the sum of its proper divisors (67391332).

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

40804032 is an frugal number, since it uses more digits than its factorization.

40804032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 40804032 is about 6387.8033783140. The cubic root of 40804032 is about 344.2714641052.

Multiplying 40804032 by its product of nonzero digits (768), we get a square (31337496576 = 1770242).

Adding to 40804032 its reverse (23040804), we get a palindrome (63844836).

The spelling of 40804032 in words is "forty million, eight hundred four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 461 922 1383 1844 2766 3688 5532 7376 11064 14752 22128 29504 44256 88512 212521 425042 637563 850084 1275126 1700168 2550252 3400336 5100504 6800672 10201008 13601344 20402016 40804032