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47268384 = 2531273877
BaseRepresentation
bin1011010001010…
…0001000100000
310021221111000220
42310110020200
544100042014
64405043040
71112526462
oct264241040
9107844026
1047268384
1124755489
12139b6480
139a3cc77
1463c6132
15423a6a9
hex2d14220

47268384 has 48 divisors (see below), whose sum is σ = 125088768. Its totient is φ = 15628032.

The previous prime is 47268383. The next prime is 47268401. The reversal of 47268384 is 48386274.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (47268383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10254 + ... + 14130.

It is an arithmetic number, because the mean of its divisors is an integer number (2606016).

Almost surely, 247268384 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 47268384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62544384).

47268384 is an abundant number, since it is smaller than the sum of its proper divisors (77820384).

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

47268384 is a wasteful number, since it uses less digits than its factorization.

47268384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4017 (or 4009 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 47268384 is about 6875.2006516174. The cubic root of 47268384 is about 361.5682203778.

The spelling of 47268384 in words is "forty-seven million, two hundred sixty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 254 381 508 762 1016 1524 2032 3048 3877 4064 6096 7754 11631 12192 15508 23262 31016 46524 62032 93048 124064 186096 372192 492379 984758 1477137 1969516 2954274 3939032 5908548 7878064 11817096 15756128 23634192 47268384