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47983329 = 3223092
BaseRepresentation
bin1011011100001…
…0101011100001
310100021210202100
42313002223201
544240431304
64432241013
71121565042
oct267025341
9110253670
1047983329
11250a3649
12140a0169
139c30504
1465308c9
15432c439
hex2dc2ae1

47983329 has 9 divisors (see below), whose sum is σ = 69339283. Its totient is φ = 31975032.

The previous prime is 47983307. The next prime is 47983357. The reversal of 47983329 is 92338974.

It is a happy number.

The square root of 47983329 is 6927.

It is a perfect power (a square), and thus also a powerful number.

47983329 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 only one way, i.e., 40030929 + 7952400 = 6327^2 + 2820^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 47983329 - 211 = 47981281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47913329) 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 8 ways as a sum of consecutive naturals, for example, 19627 + ... + 21935.

Almost surely, 247983329 is an apocalyptic number.

47983329 is the 6927-th square number.

47983329 is the 3464-th centered octagonal number.

It is an amenable number.

47983329 is a deficient number, since it is larger than the sum of its proper divisors (21355954).

47983329 is an frugal number, since it uses more digits than its factorization.

47983329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4624 (or 2312 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The cubic root of 47983329 is about 363.3820397815.

The spelling of 47983329 in words is "forty-seven million, nine hundred eighty-three thousand, three hundred twenty-nine".

Divisors: 1 3 9 2309 6927 20781 5331481 15994443 47983329