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40212417 = 3719971039
BaseRepresentation
bin1001100101100…
…1011111000001
32210200000001210
42121121133001
540243244132
63553520333
7665541240
oct231313701
983600053
1040212417
1120776203
12115730a9
13843c43b
1454aa957
1537e4bcc
hex26597c1

40212417 has 32 divisors (see below), whose sum is σ = 65228800. Its totient is φ = 21523968.

The previous prime is 40212413. The next prime is 40212427. The reversal of 40212417 is 71421204.

It is a happy number.

40212417 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 40212417 - 22 = 40212413 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 40212393 and 40212402.

It is not an unprimeable number, because it can be changed into a prime (40212413) 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 31 ways as a sum of consecutive naturals, for example, 38184 + ... + 39222.

It is an arithmetic number, because the mean of its divisors is an integer number (2038400).

Almost surely, 240212417 is an apocalyptic number.

It is an amenable number.

40212417 is a deficient number, since it is larger than the sum of its proper divisors (25016383).

40212417 is a wasteful number, since it uses less digits than its factorization.

40212417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165.

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 40212417 is about 6341.3261231386. The cubic root of 40212417 is about 342.5995008119.

The spelling of 40212417 in words is "forty million, two hundred twelve thousand, four hundred seventeen".

Divisors: 1 3 7 19 21 57 97 133 291 399 679 1039 1843 2037 3117 5529 7273 12901 19741 21819 38703 59223 100783 138187 302349 414561 705481 1914877 2116443 5744631 13404139 40212417