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41563040 = 255475527
BaseRepresentation
bin1001111010001…
…1001110100000
32220012121202212
42132203032200
541120004130
64042501252
71013165021
oct236431640
986177685
1041563040
1121508a22
1211b04828
1387c311c
14573cc48
1539aee95
hex27a33a0

41563040 has 48 divisors (see below), whose sum is σ = 100300032. Its totient is φ = 16268544.

The previous prime is 41563037. The next prime is 41563043. The reversal of 41563040 is 4036514.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (41563037) and next prime (41563043).

It is a junction number, because it is equal to n+sod(n) for n = 41562997 and 41563015.

It is not an unprimeable number, because it can be changed into a prime (41563043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4757 + ... + 10283.

It is an arithmetic number, because the mean of its divisors is an integer number (2089584).

Almost surely, 241563040 is an apocalyptic number.

41563040 is a gapful number since it is divisible by the number (40) 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 41563040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50150016).

41563040 is an abundant number, since it is smaller than the sum of its proper divisors (58736992).

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

41563040 is a wasteful number, since it uses less digits than its factorization.

41563040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5589 (or 5581 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 41563040 is about 6446.9403595814. The cubic root of 41563040 is about 346.3929957141.

Adding to 41563040 its reverse (4036514), we get a palindrome (45599554).

The spelling of 41563040 in words is "forty-one million, five hundred sixty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 80 94 160 188 235 376 470 752 940 1504 1880 3760 5527 7520 11054 22108 27635 44216 55270 88432 110540 176864 221080 259769 442160 519538 884320 1039076 1298845 2078152 2597690 4156304 5195380 8312608 10390760 20781520 41563040