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47728314 = 23215716889
BaseRepresentation
bin1011011000010…
…0011010111010
310022210211221100
42312010122322
544204301224
64422552230
71116453414
oct266043272
9108724840
1047728314
1124a39a97
1213b98676
139b7140a
1464a59b4
1542cbac9
hex2d846ba

47728314 has 24 divisors (see below), whose sum is σ = 104076180. Its totient is φ = 15807168.

The previous prime is 47728283. The next prime is 47728319. The reversal of 47728314 is 41382774.

It is a happy number.

47728314 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 2 ways, for example, as 40259025 + 7469289 = 6345^2 + 2733^2 .

It is not an unprimeable number, because it can be changed into a prime (47728319) 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 11 ways as a sum of consecutive naturals, for example, 5619 + ... + 11270.

Almost surely, 247728314 is an apocalyptic number.

47728314 is an abundant number, since it is smaller than the sum of its proper divisors (56347866).

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

47728314 is a wasteful number, since it uses less digits than its factorization.

47728314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17054 (or 17051 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 47728314 is about 6908.5681584537. The cubic root of 47728314 is about 362.7371455007.

The spelling of 47728314 in words is "forty-seven million, seven hundred twenty-eight thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 157 314 471 942 1413 2826 16889 33778 50667 101334 152001 304002 2651573 5303146 7954719 15909438 23864157 47728314