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47927984 = 2413317433
BaseRepresentation
bin1011011011010…
…1001010110000
310100011222211112
42312311022300
544232143414
64431132452
71121244506
oct266651260
9110158745
1047927984
1125066005
1214074128
139c11270
146518676
15431ad3e
hex2db52b0

47927984 has 40 divisors (see below), whose sum is σ = 103243392. Its totient is φ = 21404160.

The previous prime is 47927977. The next prime is 47927993. The reversal of 47927984 is 48972974.

47927984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 2732 + ... + 10164.

Almost surely, 247927984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47927984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51621696).

47927984 is an abundant number, since it is smaller than the sum of its proper divisors (55315408).

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

47927984 is a wasteful number, since it uses less digits than its factorization.

47927984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7485 (or 7479 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 50.

The square root of 47927984 is about 6923.0039722652. The cubic root of 47927984 is about 363.2422751544.

The spelling of 47927984 in words is "forty-seven million, nine hundred twenty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 208 248 403 496 806 1612 3224 6448 7433 14866 29732 59464 96629 118928 193258 230423 386516 460846 773032 921692 1546064 1843384 2995499 3686768 5990998 11981996 23963992 47927984