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41314644 = 22337237211
BaseRepresentation
bin1001110110011…
…0100101010100
32212202000001000
42131212211110
541034032034
64033303300
71011111600
oct235464524
985660030
1041314644
1121359338
1211a04b30
138737047
1456b6500
153961599
hex2766954

41314644 has 144 divisors (see below), whose sum is σ = 128573760. Its totient is φ = 11430720.

The previous prime is 41314627. The next prime is 41314667. The reversal of 41314644 is 44641314.

41314644 is a `hidden beast` number, since 4 + 1 + 3 + 14 + 644 = 666.

41314644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 195699 + ... + 195909.

Almost surely, 241314644 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 41314644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64286880).

41314644 is an abundant number, since it is smaller than the sum of its proper divisors (87259116).

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

41314644 is a wasteful number, since it uses less digits than its factorization.

41314644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 260 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 41314644 is about 6427.6468477974. The cubic root of 41314644 is about 345.7015591765.

Adding to 41314644 its reverse (44641314), we get a palindrome (85955958).

The spelling of 41314644 in words is "forty-one million, three hundred fourteen thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 37 42 49 54 63 74 84 98 108 111 126 147 148 189 196 211 222 252 259 294 333 378 422 441 444 518 588 633 666 756 777 844 882 999 1036 1266 1323 1332 1477 1554 1764 1813 1899 1998 2331 2532 2646 2954 3108 3626 3798 3996 4431 4662 5292 5439 5697 5908 6993 7252 7596 7807 8862 9324 10339 10878 11394 13293 13986 15614 16317 17724 20678 21756 22788 23421 26586 27972 31017 31228 32634 39879 41356 46842 48951 53172 54649 62034 65268 70263 79758 93051 93684 97902 109298 124068 140526 159516 163947 186102 195804 210789 218596 279153 281052 327894 372204 382543 421578 491841 558306 655788 765086 843156 983682 1116612 1147629 1475523 1530172 1967364 2295258 2951046 3442887 4590516 5902092 6885774 10328661 13771548 20657322 41314644