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40131477 = 331978229
BaseRepresentation
bin1001100100010…
…1101110010101
32210111220001000
42121011232111
540233201402
63552053513
7665053251
oct231055625
983456030
1040131477
1120720411
1211534299
138411649
145489261
1537cac1c
hex2645b95

40131477 has 16 divisors (see below), whose sum is σ = 62584000. Its totient is φ = 25345872.

The previous prime is 40131449. The next prime is 40131479. The reversal of 40131477 is 77413104.

40131477 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 40131477 - 27 = 40131349 is a prime.

It is a super-2 number, since 2×401314772 = 3221070892403058, 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 self number, because there is not a number n which added to its sum of digits gives 40131477.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40131479) 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, 38602 + ... + 39627.

It is an arithmetic number, because the mean of its divisors is an integer number (3911500).

Almost surely, 240131477 is an apocalyptic number.

It is an amenable number.

40131477 is a deficient number, since it is larger than the sum of its proper divisors (22452523).

40131477 is a wasteful number, since it uses less digits than its factorization.

40131477 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78257 (or 78251 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 40131477 is about 6334.9409626294. The cubic root of 40131477 is about 342.3694837211.

It can be divided in two parts, 401 and 31477, that added together give a triangular number (31878 = T252).

The spelling of 40131477 in words is "forty million, one hundred thirty-one thousand, four hundred seventy-seven".

Divisors: 1 3 9 19 27 57 171 513 78229 234687 704061 1486351 2112183 4459053 13377159 40131477