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47504020 = 2257332537
BaseRepresentation
bin1011010100110…
…1101010010100
310022101110021011
42311031222110
544130112040
64414102004
71114530454
oct265155224
9108343234
1047504020
11248a6523
1213aaa904
139ac32b5
146447d64
1542853ea
hex2d4da94

47504020 has 24 divisors (see below), whose sum is σ = 101128104. Its totient is φ = 18740736.

The previous prime is 47504011. The next prime is 47504033. The reversal of 47504020 is 2040574.

47504020 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 4 ways, for example, as 4356 + 47499664 = 66^2 + 6892^2 .

It is a junction number, because it is equal to n+sod(n) for n = 47503982 and 47504000.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 14809 + ... + 17728.

It is an arithmetic number, because the mean of its divisors is an integer number (4213671).

Almost surely, 247504020 is an apocalyptic number.

It is an amenable number.

47504020 is an abundant number, since it is smaller than the sum of its proper divisors (53624084).

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

47504020 is a wasteful number, since it uses less digits than its factorization.

47504020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32619 (or 32617 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 47504020 is about 6892.3160113274. The cubic root of 47504020 is about 362.1680385467.

Adding to 47504020 its reverse (2040574), we get a palindrome (49544594).

The spelling of 47504020 in words is "forty-seven million, five hundred four thousand, twenty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 32537 65074 130148 162685 325370 650740 2375201 4750402 9500804 11876005 23752010 47504020