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47840 = 2551323
BaseRepresentation
bin1011101011100000
32102121212
423223200
53012330
61005252
7256322
oct135340
972555
1047840
1132a41
1223828
1318a10
1413612
15e295
hexbae0

47840 has 48 divisors (see below), whose sum is σ = 127008. Its totient is φ = 16896.

The previous prime is 47837. The next prime is 47843. The reversal of 47840 is 4874.

47840 divided by its sum of digits (23) gives a triangular number (2080 = T64).

47840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (47837) and next prime (47843).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47843) 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, 2069 + ... + 2091.

It is equal to the Eulerian number A(10, 2).

It is an arithmetic number, because the mean of its divisors is an integer number (2646).

247840 is an apocalyptic number.

47840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63504).

47840 is an abundant number, since it is smaller than the sum of its proper divisors (79168).

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

47840 is a wasteful number, since it uses less digits than its factorization.

47840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 47840 is about 218.7235698319. The cubic root of 47840 is about 36.3019864486.

The spelling of 47840 in words is "forty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 32 40 46 52 65 80 92 104 115 130 160 184 208 230 260 299 368 416 460 520 598 736 920 1040 1196 1495 1840 2080 2392 2990 3680 4784 5980 9568 11960 23920 47840