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47292 = 2237563
BaseRepresentation
bin1011100010111100
32101212120
423202330
53003132
61002540
7254610
oct134274
971776
1047292
1132593
1223450
13186ab
1413340
15e02c
hexb8bc

47292 has 24 divisors (see below), whose sum is σ = 126336. Its totient is φ = 13488.

The previous prime is 47287. The next prime is 47293. The reversal of 47292 is 29274.

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 47292.

It is not an unprimeable number, because it can be changed into a prime (47293) by changing a digit.

47292 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 7 ways as a sum of consecutive naturals, for example, 198 + ... + 365.

It is an arithmetic number, because the mean of its divisors is an integer number (5264).

247292 is an apocalyptic number.

47292 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

47292 is an abundant number, since it is smaller than the sum of its proper divisors (79044).

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 (63168).

47292 is a wasteful number, since it uses less digits than its factorization.

47292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 575 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 47292 is about 217.4672389120. The cubic root of 47292 is about 36.1628425337.

The spelling of 47292 in words is "forty-seven thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 563 1126 1689 2252 3378 3941 6756 7882 11823 15764 23646 47292