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41113344 = 283174767
BaseRepresentation
bin1001110011010…
…1011100000000
32212100202220110
42130311130000
541011111334
64025111320
71006312656
oct234653400
985322813
1041113344
1121231078
1211928540
13869652c
145662dd6
153921ae9
hex2735700

41113344 has 144 divisors (see below), whose sum is σ = 120089088. Its totient is φ = 12435456.

The previous prime is 41113343. The next prime is 41113349. The reversal of 41113344 is 44331114.

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

It is a self number, because there is not a number n which added to its sum of digits gives 41113344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41113343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 613599 + ... + 613665.

It is an arithmetic number, because the mean of its divisors is an integer number (833952).

Almost surely, 241113344 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 41113344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60044544).

41113344 is an abundant number, since it is smaller than the sum of its proper divisors (78975744).

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

41113344 is a wasteful number, since it uses less digits than its factorization.

41113344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 136 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 41113344 is about 6411.9688084082. The cubic root of 41113344 is about 345.1391834971.

Adding to 41113344 its reverse (44331114), we get a palindrome (85444458).

The spelling of 41113344 in words is "forty-one million, one hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 47 48 51 64 67 68 94 96 102 128 134 136 141 188 192 201 204 256 268 272 282 376 384 402 408 536 544 564 752 768 799 804 816 1072 1088 1128 1139 1504 1598 1608 1632 2144 2176 2256 2278 2397 3008 3149 3196 3216 3264 3417 4288 4352 4512 4556 4794 6016 6298 6392 6432 6528 6834 8576 9024 9112 9447 9588 12032 12596 12784 12864 13056 13668 17152 18048 18224 18894 19176 25192 25568 25728 27336 36096 36448 37788 38352 50384 51136 51456 53533 54672 72896 75576 76704 100768 102272 107066 109344 145792 151152 153408 160599 201536 204544 214132 218688 291584 302304 306816 321198 403072 428264 437376 604608 613632 642396 806144 856528 874752 1209216 1284792 1713056 2418432 2569584 3426112 5139168 6852224 10278336 13704448 20556672 41113344