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40032819 = 332117027
BaseRepresentation
bin1001100010110…
…1101000110011
32210022212201000
42120231220303
540222022234
63550013043
7664162521
oct230555063
983285630
1040032819
1120663282
12114a7183
1383a8778
145461311
1537ab899
hex262da33

40032819 has 16 divisors (see below), whose sum is σ = 59597440. Its totient is φ = 26558280.

The previous prime is 40032803. The next prime is 40032869. The reversal of 40032819 is 91823004.

40032819 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40032819 - 24 = 40032803 is a prime.

It is a super-2 number, since 2×400328192 = 3205253194173522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 40032792 and 40032801.

It is not an unprimeable number, because it can be changed into a prime (40032869) 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, 2184 + ... + 9210.

It is an arithmetic number, because the mean of its divisors is an integer number (3724840).

Almost surely, 240032819 is an apocalyptic number.

40032819 is a deficient number, since it is larger than the sum of its proper divisors (19564621).

40032819 is a wasteful number, since it uses less digits than its factorization.

40032819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7247 (or 7241 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 40032819 is about 6327.1493581233. The cubic root of 40032819 is about 342.0886966009.

The spelling of 40032819 in words is "forty million, thirty-two thousand, eight hundred nineteen".

Divisors: 1 3 9 27 211 633 1899 5697 7027 21081 63243 189729 1482697 4448091 13344273 40032819