Search a number
-
+
41019104 = 2571491229
BaseRepresentation
bin1001110001111…
…0011011100000
32212011222122002
42130132123200
541000102404
64023103132
71005441140
oct234363340
985158562
1041019104
1121177295
12118a1aa8
138662679
14563a920
153903c1e
hex271e6e0

41019104 has 48 divisors (see below), whose sum is σ = 92988000. Its totient is φ = 17447424.

The previous prime is 41019089. The next prime is 41019133. The reversal of 41019104 is 40191014.

41019104 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, 32762 + ... + 33990.

It is an arithmetic number, because the mean of its divisors is an integer number (1937250).

Almost surely, 241019104 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 41019104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46494000).

41019104 is an abundant number, since it is smaller than the sum of its proper divisors (51968896).

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

41019104 is a wasteful number, since it uses less digits than its factorization.

41019104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 41019104 is about 6404.6158354737. The cubic root of 41019104 is about 344.8752724231.

The spelling of 41019104 in words is "forty-one million, nineteen thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 149 224 298 596 1043 1192 1229 2086 2384 2458 4172 4768 4916 8344 8603 9832 16688 17206 19664 33376 34412 39328 68824 137648 183121 275296 366242 732484 1281847 1464968 2563694 2929936 5127388 5859872 10254776 20509552 41019104