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47820384 = 2532166043
BaseRepresentation
bin1011011001101…
…0111001100000
310022222112020100
42312122321200
544220223014
64424542400
71120316013
oct266327140
9108875210
1047820384
1124aa2187
1214021a00
139ba42b1
1464cb37a
1542e9009
hex2d9ae60

47820384 has 36 divisors (see below), whose sum is σ = 135990036. Its totient is φ = 15940032.

The previous prime is 47820373. The next prime is 47820419. The reversal of 47820384 is 48302874.

47820384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 5 ways as a sum of consecutive naturals, for example, 82734 + ... + 83309.

It is an arithmetic number, because the mean of its divisors is an integer number (3777501).

Almost surely, 247820384 is an apocalyptic number.

It is an amenable number.

47820384 is an abundant number, since it is smaller than the sum of its proper divisors (88169652).

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

47820384 is a wasteful number, since it uses less digits than its factorization.

47820384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166059 (or 166048 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 47820384 is about 6915.2284127135. The cubic root of 47820384 is about 362.9702409409.

The spelling of 47820384 in words is "forty-seven million, eight hundred twenty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 166043 332086 498129 664172 996258 1328344 1494387 1992516 2656688 2988774 3985032 5313376 5977548 7970064 11955096 15940128 23910192 47820384