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4009226427 = 323717967261
BaseRepresentation
bin1110111011110111…
…1111000010111011
3101100102001210201200
43232331333002323
531202330221202
61501455345243
7201231601533
oct35675770273
911312053650
104009226427
111778116178
1293a822223
134bb80213b
142a06764c3
15186e98e1c
hexeef7f0bb

4009226427 has 24 divisors (see below), whose sum is σ = 5980937040. Its totient is φ = 2586012480.

The previous prime is 4009226381. The next prime is 4009226443. The reversal of 4009226427 is 7246229004.

4009226427 is a `hidden beast` number, since 4 + 0 + 0 + 9 + 2 + 2 + 642 + 7 = 666.

It is not a de Polignac number, because 4009226427 - 28 = 4009226171 is a prime.

It is a super-3 number, since 3×40092264273 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4009226391 and 4009226400.

It is not an unprimeable number, because it can be changed into a prime (4009226447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25977 + ... + 93237.

It is an arithmetic number, because the mean of its divisors is an integer number (249205710).

Almost surely, 24009226427 is an apocalyptic number.

4009226427 is a deficient number, since it is larger than the sum of its proper divisors (1971710613).

4009226427 is a wasteful number, since it uses less digits than its factorization.

4009226427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67483 (or 67480 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4009226427 is about 63318.4525000414. The cubic root of 4009226427 is about 1588.6206180889.

The spelling of 4009226427 in words is "four billion, nine million, two hundred twenty-six thousand, four hundred twenty-seven".

Divisors: 1 3 9 37 111 179 333 537 1611 6623 19869 59607 67261 201783 605349 2488657 7465971 12039719 22397913 36119157 108357471 445469603 1336408809 4009226427