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47027072 = 27477817
BaseRepresentation
bin1011001101100…
…1001110000000
310021111020000102
42303121032000
544014331242
64355541532
71110503111
oct263311600
9107436012
1047027072
1124600154
12138ba8a8
139987191
146362208
1541dde32
hex2cd9380

47027072 has 32 divisors (see below), whose sum is σ = 95692320. Its totient is φ = 23010304.

The previous prime is 47027051. The next prime is 47027107. The reversal of 47027072 is 27072074.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2108 + ... + 9924.

It is an arithmetic number, because the mean of its divisors is an integer number (2990385).

Almost surely, 247027072 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 47027072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47846160).

47027072 is an abundant number, since it is smaller than the sum of its proper divisors (48665248).

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

47027072 is an equidigital number, since it uses as much as digits as its factorization.

47027072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7878 (or 7866 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 29.

The square root of 47027072 is about 6857.6287446901. The cubic root of 47027072 is about 360.9518841753.

The spelling of 47027072 in words is "forty-seven million, twenty-seven thousand, seventy-two".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 376 752 1504 3008 6016 7817 15634 31268 62536 125072 250144 367399 500288 734798 1000576 1469596 2939192 5878384 11756768 23513536 47027072