Search a number
-
+
41110496 = 257223823
BaseRepresentation
bin1001110011010…
…0101111100000
32212100121222222
42130310233200
541011013441
64025050212
71006301450
oct234645740
985317888
1041110496
1121229a19
1211926968
13869514b
145661d60
153920d4b
hex2734be0

41110496 has 48 divisors (see below), whose sum is σ = 93026304. Its totient is φ = 17518464.

The previous prime is 41110483. The next prime is 41110507. The reversal of 41110496 is 69401114.

41110496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 49541 + ... + 50363.

It is an arithmetic number, because the mean of its divisors is an integer number (1938048).

Almost surely, 241110496 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 41110496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46513152).

41110496 is an abundant number, since it is smaller than the sum of its proper divisors (51915808).

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

41110496 is a wasteful number, since it uses less digits than its factorization.

41110496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 41110496 is about 6411.7467198884. The cubic root of 41110496 is about 345.1312138292.

The spelling of 41110496 in words is "forty-one million, one hundred ten thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 223 224 446 823 892 1561 1646 1784 3122 3292 3568 5761 6244 6584 7136 11522 12488 13168 23044 24976 26336 46088 49952 92176 183529 184352 367058 734116 1284703 1468232 2569406 2936464 5138812 5872928 10277624 20555248 41110496