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41145104 = 24721113367
BaseRepresentation
bin1001110011110…
…1001100010000
32212102101110202
42130331030100
541013120404
64025514332
71006504400
oct234751420
985371422
1041145104
1121252a20
12119429a8
1386a7b20
145670800
15392b21e
hex273d310

41145104 has 120 divisors (see below), whose sum is σ = 109243008. Its totient is φ = 14757120.

The previous prime is 41145103. The next prime is 41145107. The reversal of 41145104 is 40154114.

It is not an unprimeable number, because it can be changed into a prime (41145103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111929 + ... + 112295.

Almost surely, 241145104 is an apocalyptic number.

41145104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41145104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54621504).

41145104 is an abundant number, since it is smaller than the sum of its proper divisors (68097904).

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

41145104 is a wasteful number, since it uses less digits than its factorization.

41145104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 41145104 is about 6414.4449487076. Note that the first 3 decimals coincide. The cubic root of 41145104 is about 345.2280337989.

Adding to 41145104 its reverse (40154114), we get a palindrome (81299218).

The spelling of 41145104 in words is "forty-one million, one hundred forty-five thousand, one hundred four".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 49 52 56 77 88 91 98 104 112 143 154 176 182 196 208 286 308 364 367 392 539 572 616 637 728 734 784 1001 1078 1144 1232 1274 1456 1468 2002 2156 2288 2548 2569 2936 4004 4037 4312 4771 5096 5138 5872 7007 8008 8074 8624 9542 10192 10276 14014 16016 16148 17983 19084 20552 28028 28259 32296 33397 35966 38168 41104 52481 56056 56518 64592 66794 71932 76336 104962 112112 113036 133588 143864 197813 209924 226072 233779 267176 287728 367367 395626 419848 452144 467558 534352 734734 791252 839696 935116 1469468 1582504 1870232 2571569 2938936 3165008 3740464 5143138 5877872 10286276 20572552 41145104