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4084074336 = 25344099649
BaseRepresentation
bin1111001101101110…
…0000011101100000
3101112121220110202110
43303123200131200
531331010334321
61513131515320
7203131026156
oct36333403540
911477813673
104084074336
111806398551
1295b8b8b40
1350117a444
142aa59b3d6
1518d831176
hexf36e0760

4084074336 has 48 divisors (see below), whose sum is σ = 10724238000. Its totient is φ = 1360908288.

The previous prime is 4084074331. The next prime is 4084074343. The reversal of 4084074336 is 6334704804.

4084074336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 4084074294 and 4084074303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4084074331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 418440 + ... + 428088.

It is an arithmetic number, because the mean of its divisors is an integer number (223421625).

Almost surely, 24084074336 is an apocalyptic number.

It is an amenable number.

4084074336 is an abundant number, since it is smaller than the sum of its proper divisors (6640163664).

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

4084074336 is a wasteful number, since it uses less digits than its factorization.

4084074336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14071 (or 14063 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The square root of 4084074336 is about 63906.7628346171. The cubic root of 4084074336 is about 1598.4456696914.

The spelling of 4084074336 in words is "four billion, eighty-four million, seventy-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 4409 8818 9649 13227 17636 19298 26454 28947 35272 38596 52908 57894 70544 77192 105816 115788 141088 154384 211632 231576 308768 423264 463152 926304 42542441 85084882 127627323 170169764 255254646 340339528 510509292 680679056 1021018584 1361358112 2042037168 4084074336