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47428900 = 2252474289
BaseRepresentation
bin1011010011101…
…1010100100100
310022020122012221
42310323110210
544120211100
64412322124
71114065451
oct264732444
9108218187
1047428900
1124855042
1213a73344
139a9804c
146428828
15426d01a
hex2d3b524

47428900 has 18 divisors (see below), whose sum is σ = 102920930. Its totient is φ = 18971520.

The previous prime is 47428897. The next prime is 47428933. The reversal of 47428900 is 982474.

It is a happy number.

47428900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 451584 + 46977316 = 672^2 + 6854^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 237045 + ... + 237244.

Almost surely, 247428900 is an apocalyptic number.

It is an amenable number.

47428900 is an abundant number, since it is smaller than the sum of its proper divisors (55492030).

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

47428900 is a wasteful number, since it uses less digits than its factorization.

47428900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474303 (or 474296 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 47428900 is about 6886.8643082320. The cubic root of 47428900 is about 361.9770342461.

The spelling of 47428900 in words is "forty-seven million, four hundred twenty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 474289 948578 1897156 2371445 4742890 9485780 11857225 23714450 47428900