Search a number
-
+
47758272 = 263251991
BaseRepresentation
bin1011011000101…
…1101111000000
310022212101000220
42312023233000
544211231042
64423343040
71116636642
oct266135700
9108771026
1047758272
1124a5a551
1213bb1a80
139b81c43
1464b2892
1542d58ec
hex2d8bbc0

47758272 has 56 divisors (see below), whose sum is σ = 126991872. Its totient is φ = 15840000.

The previous prime is 47758261. The next prime is 47758289. The reversal of 47758272 is 27285774.

47758272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 47697 + ... + 48687.

It is an arithmetic number, because the mean of its divisors is an integer number (2267712).

Almost surely, 247758272 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 47758272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63495936).

47758272 is an abundant number, since it is smaller than the sum of its proper divisors (79233600).

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

47758272 is a wasteful number, since it uses less digits than its factorization.

47758272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1247 counting only the distinct ones).

The product of its digits is 219520, while the sum is 42.

The square root of 47758272 is about 6910.7359955362. The cubic root of 47758272 is about 362.8130236371.

The spelling of 47758272 in words is "forty-seven million, seven hundred fifty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 251 502 753 991 1004 1506 1982 2008 2973 3012 3964 4016 5946 6024 7928 8032 11892 12048 15856 16064 23784 24096 31712 47568 48192 63424 95136 190272 248741 497482 746223 994964 1492446 1989928 2984892 3979856 5969784 7959712 11939568 15919424 23879136 47758272