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41089136 = 24111731443
BaseRepresentation
bin1001110010111…
…1100001110000
32212022112200212
42130233201300
541004323021
64024403252
71006152254
oct234574160
985275625
1041089136
1121214970
1211916528
1386884ca
145658264
15391985b
hex272f870

41089136 has 80 divisors (see below), whose sum is σ = 95136768. Its totient is φ = 16972800.

The previous prime is 41089133. The next prime is 41089159. The reversal of 41089136 is 63198014.

It is a happy number.

41089136 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 not an unprimeable number, because it can be changed into a prime (41089133) 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 15 ways as a sum of consecutive naturals, for example, 92531 + ... + 92973.

Almost surely, 241089136 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 41089136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47568384).

41089136 is an abundant number, since it is smaller than the sum of its proper divisors (54047632).

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

41089136 is a wasteful number, since it uses less digits than its factorization.

41089136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 41089136 is about 6410.0808107231. The cubic root of 41089136 is about 345.0714295845.

The spelling of 41089136 in words is "forty-one million, eighty-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 17 22 31 34 44 62 68 88 124 136 176 187 248 272 341 374 443 496 527 682 748 886 1054 1364 1496 1772 2108 2728 2992 3544 4216 4873 5456 5797 7088 7531 8432 9746 11594 13733 15062 19492 23188 27466 30124 38984 46376 54932 60248 77968 82841 92752 109864 120496 151063 165682 219728 233461 302126 331364 466922 604252 662728 933844 1208504 1325456 1867688 2417008 2568071 3735376 5136142 10272284 20544568 41089136