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47833201 = 1317092153
BaseRepresentation
bin1011011001111…
…0000001110001
310100000011211001
42312132001301
544221130301
64425122001
71120401253
oct266360161
9110004731
1047833201
1125000879
1214029301
139baa090
1464d1cd3
1542ecc01
hex2d9e071

47833201 has 8 divisors (see below), whose sum is σ = 51566760. Its totient is φ = 44107392.

The previous prime is 47833199. The next prime is 47833207. The reversal of 47833201 is 10233874.

47833201 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 2405601 + 45427600 = 1551^2 + 6740^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 47833201 - 21 = 47833199 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 47833201.

It is not an unprimeable number, because it can be changed into a prime (47833207) by changing a digit.

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, 21141 + ... + 23293.

It is an arithmetic number, because the mean of its divisors is an integer number (6445845).

Almost surely, 247833201 is an apocalyptic number.

It is an amenable number.

47833201 is a deficient number, since it is larger than the sum of its proper divisors (3733559).

47833201 is a wasteful number, since it uses less digits than its factorization.

47833201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3875.

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 47833201 is about 6916.1550734494. The cubic root of 47833201 is about 363.0026662626.

The spelling of 47833201 in words is "forty-seven million, eight hundred thirty-three thousand, two hundred one".

Divisors: 1 13 1709 2153 22217 27989 3679477 47833201