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40032461 = 721018089
BaseRepresentation
bin1001100010110…
…1100011001101
32210022212012202
42120231203031
540222014321
63550011245
7664161500
oct230554315
983285182
1040032461
1120662a87
12114a6b25
1383a8561
145461137
1537ab70b
hex262d8cd

40032461 has 12 divisors (see below), whose sum is σ = 47035260. Its totient is φ = 33969600.

The previous prime is 40032457. The next prime is 40032479. The reversal of 40032461 is 16423004.

It is a happy number.

40032461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 18232900 + 21799561 = 4270^2 + 4669^2 .

It is not a de Polignac number, because 40032461 - 22 = 40032457 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40032401) 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 11 ways as a sum of consecutive naturals, for example, 905 + ... + 8993.

It is an arithmetic number, because the mean of its divisors is an integer number (3919605).

Almost surely, 240032461 is an apocalyptic number.

It is an amenable number.

40032461 is a deficient number, since it is larger than the sum of its proper divisors (7002799).

40032461 is a wasteful number, since it uses less digits than its factorization.

40032461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8204 (or 8197 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 40032461 is about 6327.1210672785. The cubic root of 40032461 is about 342.0876768699.

Adding to 40032461 its reverse (16423004), we get a palindrome (56455465).

The spelling of 40032461 in words is "forty million, thirty-two thousand, four hundred sixty-one".

Divisors: 1 7 49 101 707 4949 8089 56623 396361 816989 5718923 40032461