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47432 = 2372112
BaseRepresentation
bin1011100101001000
32102001202
423211020
53004212
61003332
7255200
oct134510
972052
1047432
1132700
1223548
1318788
1413400
15e0c2
hexb948

47432 has 36 divisors (see below), whose sum is σ = 113715. Its totient is φ = 18480.

The previous prime is 47431. The next prime is 47441. The reversal of 47432 is 23474.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 23716 + 23716 = 154^2 + 154^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=154.

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

Its product of digits (672) is a multiple of the sum of its prime factors (42).

It is not an unprimeable number, because it can be changed into a prime (47431) 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 8 ways as a sum of consecutive naturals, for example, 4307 + ... + 4317.

247432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47432

47432 is an abundant number, since it is smaller than the sum of its proper divisors (66283).

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

47432 is a wasteful number, since it uses less digits than its factorization.

47432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 20 counting only the distinct ones).

The product of its digits is 672, while the sum is 20.

The square root of 47432 is about 217.7888886055. The cubic root of 47432 is about 36.1984920467.

The spelling of 47432 in words is "forty-seven thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 121 154 196 242 308 392 484 539 616 847 968 1078 1694 2156 3388 4312 5929 6776 11858 23716 47432