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41122864 = 2417314877
BaseRepresentation
bin1001110011011…
…1110000110000
32212101020222001
42130313300300
541011412424
64025223344
71006352506
oct234676060
985336861
1041122864
1121238242
1211931b54
13869a973
145666676
153924844
hex2737c30

41122864 has 40 divisors (see below), whose sum is σ = 87101568. Its totient is φ = 18723840.

The previous prime is 41122831. The next prime is 41122867. The reversal of 41122864 is 46822114.

41122864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (41122867) by changing a digit.

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, 5994 + ... + 10870.

Almost surely, 241122864 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 41122864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43550784).

41122864 is an abundant number, since it is smaller than the sum of its proper divisors (45978704).

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

41122864 is a wasteful number, since it uses less digits than its factorization.

41122864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4933 (or 4927 counting only the distinct ones).

The product of its digits is 3072, while the sum is 28.

The square root of 41122864 is about 6412.7111271287. The cubic root of 41122864 is about 345.1658210081.

Adding to 41122864 its reverse (46822114), we get a palindrome (87944978).

The spelling of 41122864 in words is "forty-one million, one hundred twenty-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 17 31 34 62 68 124 136 248 272 496 527 1054 2108 4216 4877 8432 9754 19508 39016 78032 82909 151187 165818 302374 331636 604748 663272 1209496 1326544 2418992 2570179 5140358 10280716 20561432 41122864