Search a number
-
+
47986120 = 23571313183
BaseRepresentation
bin1011011100001…
…1010111001000
310100021221120201
42313003113020
544241023440
64432301544
71121606140
oct267032710
9110257521
1047986120
11250a5756
12140a18b4
139c31870
146531920
15432d19a
hex2dc35c8

47986120 has 64 divisors (see below), whose sum is σ = 132894720. Its totient is φ = 15185664.

The previous prime is 47986111. The next prime is 47986123. The reversal of 47986120 is 2168974.

47986120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 47986120.

It is not an unprimeable number, because it can be changed into a prime (47986123) 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 15 ways as a sum of consecutive naturals, for example, 2952 + ... + 10231.

It is an arithmetic number, because the mean of its divisors is an integer number (2076480).

Almost surely, 247986120 is an apocalyptic number.

47986120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47986120 is an abundant number, since it is smaller than the sum of its proper divisors (84908600).

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

47986120 is a wasteful number, since it uses less digits than its factorization.

47986120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13214 (or 13210 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 47986120 is about 6927.2014551332. The cubic root of 47986120 is about 363.3890851424.

The spelling of 47986120 in words is "forty-seven million, nine hundred eighty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3640 13183 26366 52732 65915 92281 105464 131830 171379 184562 263660 342758 369124 461405 527320 685516 738248 856895 922810 1199653 1371032 1713790 1845620 2399306 3427580 3691240 4798612 5998265 6855160 9597224 11996530 23993060 47986120