Search a number
-
+
47430 = 23251731
BaseRepresentation
bin1011100101000110
32102001200
423211012
53004210
61003330
7255165
oct134506
972050
1047430
11326a9
1223546
1318786
14133dc
15e0c0
hexb946

47430 has 48 divisors (see below), whose sum is σ = 134784. Its totient is φ = 11520.

The previous prime is 47419. The next prime is 47431. The reversal of 47430 is 3474.

Subtracting from 47430 its reverse (3474), we obtain a triangular number (43956 = T296).

47430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 47430.

It is not an unprimeable number, because it can be changed into a prime (47431) by changing a digit.

47430 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1515 + ... + 1545.

It is an arithmetic number, because the mean of its divisors is an integer number (2808).

247430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67392).

47430 is an abundant number, since it is smaller than the sum of its proper divisors (87354).

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

47430 is a wasteful number, since it uses less digits than its factorization.

47430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 47430 is about 217.7842969546. The cubic root of 47430 is about 36.1979832622.

The spelling of 47430 in words is "forty-seven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 31 34 45 51 62 85 90 93 102 153 155 170 186 255 279 306 310 465 510 527 558 765 930 1054 1395 1530 1581 2635 2790 3162 4743 5270 7905 9486 15810 23715 47430