Search a number
-
+
47640 = 2335397
BaseRepresentation
bin1011101000011000
32102100110
423220120
53011030
61004320
7255615
oct135030
972313
1047640
113287a
12236a0
13188b8
141350c
15e1b0
hexba18

47640 has 32 divisors (see below), whose sum is σ = 143280. Its totient is φ = 12672.

The previous prime is 47639. The next prime is 47653. The reversal of 47640 is 4674.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79 + ... + 318.

247640 is an apocalyptic number.

47640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47640 is an abundant number, since it is smaller than the sum of its proper divisors (95640).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71640).

47640 is a wasteful number, since it uses less digits than its factorization.

47640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 47640 is about 218.2658928921. The cubic root of 47640 is about 36.2513277358.

The spelling of 47640 in words is "forty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 397 794 1191 1588 1985 2382 3176 3970 4764 5955 7940 9528 11910 15880 23820 47640