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41568444 = 2233438951
BaseRepresentation
bin1001111010010…
…0100010111100
32220012220012000
42132210202330
541120142234
64042542300
71013216541
oct236444274
986186160
1041568444
1121511a95
1211b07990
1387c5718
145740bc8
1539b1899
hex27a48bc

41568444 has 48 divisors (see below), whose sum is σ = 110288640. Its totient is φ = 13532400.

The previous prime is 41568437. The next prime is 41568473. The reversal of 41568444 is 44486514.

It is a happy number.

41568444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×415684442 = 3455871073162272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 41568399 and 41568408.

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 15 ways as a sum of consecutive naturals, for example, 169 + ... + 9119.

It is an arithmetic number, because the mean of its divisors is an integer number (2297680).

Almost surely, 241568444 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 41568444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55144320).

41568444 is an abundant number, since it is smaller than the sum of its proper divisors (68720196).

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

41568444 is a wasteful number, since it uses less digits than its factorization.

41568444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9007 (or 8999 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 41568444 is about 6447.3594594997. The cubic root of 41568444 is about 346.4080076625.

The spelling of 41568444 in words is "forty-one million, five hundred sixty-eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 258 387 516 774 1161 1548 2322 4644 8951 17902 26853 35804 53706 80559 107412 161118 241677 322236 384893 483354 769786 966708 1154679 1539572 2309358 3464037 4618716 6928074 10392111 13856148 20784222 41568444