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4200059385 = 35512772707
BaseRepresentation
bin1111101001010111…
…1101000111111001
3101211201011010100000
43322111331013321
532100203400020
61532433503213
7206036626044
oct37225750771
911751133300
104200059385
111865907865
12992711b09
1351c1c9a52
142bbb4dc5b
15198ae2090
hexfa57d1f9

4200059385 has 48 divisors (see below), whose sum is σ = 7558439616. Its totient is φ = 2237450688.

The previous prime is 4200059341. The next prime is 4200059399. The reversal of 4200059385 is 5839500024.

It is not a de Polignac number, because 4200059385 - 29 = 4200058873 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1550202 + ... + 1552908.

It is an arithmetic number, because the mean of its divisors is an integer number (157467492).

Almost surely, 24200059385 is an apocalyptic number.

4200059385 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4200059385 is a deficient number, since it is larger than the sum of its proper divisors (3358380231).

4200059385 is a wasteful number, since it uses less digits than its factorization.

4200059385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4004 (or 3992 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 4200059385 is about 64807.8651476810. The cubic root of 4200059385 is about 1613.4362502316.

The spelling of 4200059385 in words is "four billion, two hundred million, fifty-nine thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 1215 1277 2707 3831 6385 8121 11493 13535 19155 24363 34479 40605 57465 73089 103437 121815 172395 219267 310311 365445 517185 657801 1096335 1551555 3289005 3456839 10370517 17284195 31111551 51852585 93334653 155557755 280003959 466673265 840011877 1400019795 4200059385