Search a number
-
+
47816240 = 2451735159
BaseRepresentation
bin1011011001100…
…1111000110000
310022222022112212
42312121320300
544220104430
64424511252
71120300643
oct266317060
9108868485
1047816240
1124a9a05a
121401b528
139ba2444
1464c9a5a
1542e7b95
hex2d99e30

47816240 has 40 divisors (see below), whose sum is σ = 117715680. Its totient is φ = 18000896.

The previous prime is 47816233. The next prime is 47816243. The reversal of 47816240 is 4261874.

47816240 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 (40).

It is a junction number, because it is equal to n+sod(n) for n = 47816197 and 47816206.

It is not an unprimeable number, because it can be changed into a prime (47816243) 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 7 ways as a sum of consecutive naturals, for example, 16220 + ... + 18939.

It is an arithmetic number, because the mean of its divisors is an integer number (2942892).

Almost surely, 247816240 is an apocalyptic number.

47816240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47816240 is an abundant number, since it is smaller than the sum of its proper divisors (69899440).

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

47816240 is a wasteful number, since it uses less digits than its factorization.

47816240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35189 (or 35183 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 47816240 is about 6914.9287776520. The cubic root of 47816240 is about 362.9597559273.

The spelling of 47816240 in words is "forty-seven million, eight hundred sixteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 35159 70318 140636 175795 281272 351590 562544 597703 703180 1195406 1406360 2390812 2812720 2988515 4781624 5977030 9563248 11954060 23908120 47816240