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4122035406 = 234142317881
BaseRepresentation
bin1111010110110001…
…0100010011001110
3101122021100002120000
43311230110103032
531420220113111
61521005305130
7204101502636
oct36554242316
911567302500
104122035406
111825866235
129705651a6
13508cabc08
142b163d6c6
15191d2dc56
hexf5b144ce

4122035406 has 40 divisors (see below), whose sum is σ = 9243420384. Its totient is φ = 1372969440.

The previous prime is 4122035399. The next prime is 4122035417. The reversal of 4122035406 is 6045302214.

4122035406 is a `hidden beast` number, since 4 + 1 + 220 + 35 + 406 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 4122035406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 221586 + ... + 239466.

Almost surely, 24122035406 is an apocalyptic number.

4122035406 is an abundant number, since it is smaller than the sum of its proper divisors (5121384978).

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

4122035406 is a wasteful number, since it uses less digits than its factorization.

4122035406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19318 (or 19309 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4122035406 is about 64203.0794121279. The cubic root of 4122035406 is about 1603.3828694038.

The spelling of 4122035406 in words is "four billion, one hundred twenty-two million, thirty-five thousand, four hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 162 1423 2846 4269 8538 12807 17881 25614 35762 38421 53643 76842 107286 115263 160929 230526 321858 482787 965574 1448361 2896722 25444663 50889326 76333989 152667978 229001967 458003934 687005901 1374011802 2061017703 4122035406