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40292728 = 2376710739
BaseRepresentation
bin1001100110110…
…1000101111000
32210211002020021
42121231011320
540303331403
63555340224
7666324340
oct231550570
983732207
1040292728
1120820583
12115b1674
138469b68
1454cbd20
15380d8bd
hex266d178

40292728 has 32 divisors (see below), whose sum is σ = 87638400. Its totient is φ = 17008992.

The previous prime is 40292723. The next prime is 40292743. The reversal of 40292728 is 82729204.

40292728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 40292693 and 40292702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40292723) 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, 1618 + ... + 9121.

It is an arithmetic number, because the mean of its divisors is an integer number (2738700).

Almost surely, 240292728 is an apocalyptic number.

It is an amenable number.

40292728 is an abundant number, since it is smaller than the sum of its proper divisors (47345672).

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

40292728 is a wasteful number, since it uses less digits than its factorization.

40292728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10819 (or 10815 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 40292728 is about 6347.6553151538. The cubic root of 40292728 is about 342.8274255328.

The spelling of 40292728 in words is "forty million, two hundred ninety-two thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 56 67 134 268 469 536 938 1876 3752 10739 21478 42956 75173 85912 150346 300692 601384 719513 1439026 2878052 5036591 5756104 10073182 20146364 40292728