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40006876 = 22713131839
BaseRepresentation
bin1001100010011…
…1010011011100
32210021120010011
42120213103130
540220210001
63545253004
7664024060
oct230472334
983246104
1040006876
1120645838
1211494164
138399a10
145455aa0
1537a3d51
hex26274dc

40006876 has 48 divisors (see below), whose sum is σ = 86929920. Its totient is φ = 15687360.

The previous prime is 40006871. The next prime is 40006903. The reversal of 40006876 is 67860004.

40006876 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40006871) 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, 47265 + ... + 48103.

It is an arithmetic number, because the mean of its divisors is an integer number (1811040).

Almost surely, 240006876 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 40006876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43464960).

40006876 is an abundant number, since it is smaller than the sum of its proper divisors (46923044).

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

40006876 is a wasteful number, since it uses less digits than its factorization.

40006876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 40006876 is about 6325.0988925075. The cubic root of 40006876 is about 342.0147845369.

The spelling of 40006876 in words is "forty million, six thousand, eight hundred seventy-six".

Divisors: 1 2 4 7 13 14 26 28 52 91 131 182 262 364 524 839 917 1678 1703 1834 3356 3406 3668 5873 6812 10907 11746 11921 21814 23492 23842 43628 47684 76349 109909 152698 219818 305396 439636 769363 1428817 1538726 2857634 3077452 5715268 10001719 20003438 40006876