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47039282928 = 2435116591669
BaseRepresentation
bin101011110011110000…
…100111111011110000
311111102020201011100000
4223303300213323300
51232314024023203
633335355030000
73253451210361
oct536360477360
9144366634300
1047039282928
1118a494a3540
12914943b300
134588560831
1423c3431b68
1513549b04a3
hexaf3c27ef0

47039282928 has 240 divisors, whose sum is σ = 149246697600. Its totient is φ = 14224170240.

The previous prime is 47039282887. The next prime is 47039282977. The reversal of 47039282928 is 82928293074.

It is a happy number.

47039282928 is a `hidden beast` number, since 470 + 3 + 9 + 2 + 82 + 92 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28183278 + ... + 28184946.

It is an arithmetic number, because the mean of its divisors is an integer number (621861240).

Almost surely, 247039282928 is an apocalyptic number.

47039282928 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 47039282928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74623348800).

47039282928 is an abundant number, since it is smaller than the sum of its proper divisors (102207414672).

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

47039282928 is a wasteful number, since it uses less digits than its factorization.

47039282928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362 (or 2344 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 47039282928 in words is "forty-seven billion, thirty-nine million, two hundred eighty-two thousand, nine hundred twenty-eight".