Search a number
-
+
41848928 = 2511611949
BaseRepresentation
bin1001111110100…
…1000001100000
32220202010221022
42133221001200
541203131203
64052545012
71015465352
oct237510140
986663838
1041848928
11216937a0
1212022168
1388932a4
1457b50d2
153a19a38
hex27e9060

41848928 has 48 divisors (see below), whose sum is σ = 91400400. Its totient is φ = 18700800.

The previous prime is 41848921. The next prime is 41848931. The reversal of 41848928 is 82984814.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41848921) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 20498 + ... + 22446.

It is an arithmetic number, because the mean of its divisors is an integer number (1904175).

Almost surely, 241848928 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 41848928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45700200).

41848928 is an abundant number, since it is smaller than the sum of its proper divisors (49551472).

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

41848928 is a wasteful number, since it uses less digits than its factorization.

41848928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031 (or 2023 counting only the distinct ones).

The product of its digits is 147456, while the sum is 44.

The square root of 41848928 is about 6469.0747406410. The cubic root of 41848928 is about 347.1853937098.

The spelling of 41848928 in words is "forty-one million, eight hundred forty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 61 88 122 176 244 352 488 671 976 1342 1949 1952 2684 3898 5368 7796 10736 15592 21439 21472 31184 42878 62368 85756 118889 171512 237778 343024 475556 686048 951112 1307779 1902224 2615558 3804448 5231116 10462232 20924464 41848928