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41113926 = 2337234729
BaseRepresentation
bin1001110011010…
…1100101000110
32212100210201000
42130311211012
541011121201
64025114130
71006314450
oct234654506
985323630
1041113926
1121231557
1211928946
138696889
1456632d0
153921d86
hex2735946

41113926 has 64 divisors (see below), whose sum is σ = 108979200. Its totient is φ = 11233728.

The previous prime is 41113921. The next prime is 41113927. The reversal of 41113926 is 62931114.

41113926 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 2×411139262 = 3380709822266952, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 41113926.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41113921) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6330 + ... + 11058.

It is an arithmetic number, because the mean of its divisors is an integer number (1702800).

Almost surely, 241113926 is an apocalyptic number.

41113926 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 41113926, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54489600).

41113926 is an abundant number, since it is smaller than the sum of its proper divisors (67865274).

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

41113926 is a wasteful number, since it uses less digits than its factorization.

41113926 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4770 (or 4764 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 41113926 is about 6412.0141921240. The cubic root of 41113926 is about 345.1408120848.

The spelling of 41113926 in words is "forty-one million, one hundred thirteen thousand, nine hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 126 138 161 189 207 322 378 414 483 621 966 1242 1449 2898 4347 4729 8694 9458 14187 28374 33103 42561 66206 85122 99309 108767 127683 198618 217534 255366 297927 326301 595854 652602 761369 893781 978903 1522738 1787562 1957806 2284107 2936709 4568214 5873418 6852321 13704642 20556963 41113926