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47975965 = 573131441
BaseRepresentation
bin1011011100000…
…0111000011101
310100021102122121
42313000320131
544240212330
64432142541
71121534422
oct267007035
9110242577
1047975965
1125099064
1214097a51
139c2a05b
14652bd49
15432a17a
hex2dc0e1d

47975965 has 8 divisors (see below), whose sum is σ = 58360248. Its totient is φ = 37854720.

The previous prime is 47975959. The next prime is 47976011. The reversal of 47975965 is 56957974.

It is a happy number.

47975965 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 1490841 + 46485124 = 1221^2 + 6818^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 47975965 - 23 = 47975957 is a prime.

It is a Duffinian number.

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, 65356 + ... + 66085.

It is an arithmetic number, because the mean of its divisors is an integer number (7295031).

Almost surely, 247975965 is an apocalyptic number.

It is an amenable number.

47975965 is a deficient number, since it is larger than the sum of its proper divisors (10384283).

47975965 is a wasteful number, since it uses less digits than its factorization.

47975965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131519.

The product of its digits is 2381400, while the sum is 52.

The square root of 47975965 is about 6926.4684363678. The cubic root of 47975965 is about 363.3634494204.

Subtracting 47975965 from its reverse (56957974), we obtain a square (8982009 = 29972).

The spelling of 47975965 in words is "forty-seven million, nine hundred seventy-five thousand, nine hundred sixty-five".

Divisors: 1 5 73 365 131441 657205 9595193 47975965