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41433444 = 2236131093
BaseRepresentation
bin1001111000001…
…1100101100100
32212222001000000
42132003211210
541101332234
64040021300
71012115133
oct236034544
985861000
1041433444
112142a618
1211a61830
138779140
14570791a
153986899
hex2783964

41433444 has 84 divisors (see below), whose sum is σ = 117182716. Its totient is φ = 12737088.

The previous prime is 41433409. The next prime is 41433449. The reversal of 41433444 is 44433414.

It can be written as a sum of positive squares in 2 ways, for example, as 26316900 + 15116544 = 5130^2 + 3888^2 .

It is a super-2 number, since 2×414334442 = 3433460563402272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41433449) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 37362 + ... + 38454.

Almost surely, 241433444 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 41433444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58591358).

41433444 is an abundant number, since it is smaller than the sum of its proper divisors (75749272).

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

41433444 is a wasteful number, since it uses less digits than its factorization.

41433444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1111 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 41433444 is about 6436.8815431077. The cubic root of 41433444 is about 346.0325963031.

Adding to 41433444 its reverse (44433414), we get a palindrome (85866858).

The spelling of 41433444 in words is "forty-one million, four hundred thirty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 702 729 972 1053 1093 1404 1458 2106 2186 2916 3159 3279 4212 4372 6318 6558 9477 9837 12636 13116 14209 18954 19674 28418 29511 37908 39348 42627 56836 59022 85254 88533 118044 127881 170508 177066 255762 265599 354132 383643 511524 531198 767286 796797 1062396 1150929 1534572 1593594 2301858 3187188 3452787 4603716 6905574 10358361 13811148 20716722 41433444