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47440 = 245593
BaseRepresentation
bin1011100101010000
32102002001
423211100
53004230
61003344
7255211
oct134520
972061
1047440
1132708
1223554
1318793
1413408
15e0ca
hexb950

47440 has 20 divisors (see below), whose sum is σ = 110484. Its totient is φ = 18944.

The previous prime is 47431. The next prime is 47441. The reversal of 47440 is 4474.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 23104 + 24336 = 152^2 + 156^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47441) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 217 + ... + 376.

247440 is an apocalyptic number.

47440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47440 is an abundant number, since it is smaller than the sum of its proper divisors (63044).

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 (55242).

47440 is a wasteful number, since it uses less digits than its factorization.

47440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 19.

The square root of 47440 is about 217.8072542410. The cubic root of 47440 is about 36.2005270418.

The spelling of 47440 in words is "forty-seven thousand, four hundred forty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 16 20 40 80 593 1186 2372 2965 4744 5930 9488 11860 23720 47440