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40442667 = 346728867
BaseRepresentation
bin1001101001000…
…1101100101011
32211002200220120
42122101230223
540323131132
64002454323
71000520436
oct232215453
984080816
1040442667
11209131a1
12116643a3
1384c0195
14552a81d
15383d02c
hex2691b2b

40442667 has 8 divisors (see below), whose sum is σ = 54040896. Its totient is φ = 26903112.

The previous prime is 40442653. The next prime is 40442669. The reversal of 40442667 is 76624404.

40442667 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 40442667 - 26 = 40442603 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40442669) 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, 13033 + ... + 15834.

It is an arithmetic number, because the mean of its divisors is an integer number (6755112).

Almost surely, 240442667 is an apocalyptic number.

40442667 is a deficient number, since it is larger than the sum of its proper divisors (13598229).

40442667 is a wasteful number, since it uses less digits than its factorization.

40442667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29337.

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 40442667 is about 6359.4549294731. The cubic root of 40442667 is about 343.2521470987.

It can be divided in two parts, 404 and 42667, that added together give a triangular number (43071 = T293).

The spelling of 40442667 in words is "forty million, four hundred forty-two thousand, six hundred sixty-seven".

Divisors: 1 3 467 1401 28867 86601 13480889 40442667