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47327328 = 253419312
BaseRepresentation
bin1011010010001…
…0100001100000
310022001110220000
42310202201200
544103433303
64410220000
71113163356
oct264424140
9108043800
1047327328
11247957a4
1213a24600
139a60a49
1463dd7d6
15424cda3
hex2d22860

47327328 has 180 divisors, whose sum is σ = 151392780. Its totient is φ = 14463360.

The previous prime is 47327327. The next prime is 47327341. The reversal of 47327328 is 82372374.

47327328 is a `hidden beast` number, since 4 + 7 + 327 + 328 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 47327292 and 47327301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47327323) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1526673 + ... + 1526703.

It is an arithmetic number, because the mean of its divisors is an integer number (841071).

Almost surely, 247327328 is an apocalyptic number.

47327328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47327328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75696390).

47327328 is an abundant number, since it is smaller than the sum of its proper divisors (104065452).

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

47327328 is a wasteful number, since it uses less digits than its factorization.

47327328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 55 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 47327328 is about 6879.4860273134. The cubic root of 47327328 is about 361.7184506350.

The spelling of 47327328 in words is "forty-seven million, three hundred twenty-seven thousand, three hundred twenty-eight".