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41145345 = 3252941769
BaseRepresentation
bin1001110011110…
…1010000000001
32212102101210200
42130331100001
541013122340
64025515413
71006505163
oct234752001
985371720
1041145345
112125311a
1211942b69
1386a7c77
145670933
15392b330
hex273d401

41145345 has 48 divisors (see below), whose sum is σ = 75675600. Its totient is φ = 20643840.

The previous prime is 41145319. The next prime is 41145359. The reversal of 41145345 is 54354114.

41145345 = T1670 + T1671 + ... + T1698.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6110784 + 35034561 = 2472^2 + 5919^2 .

It is not a de Polignac number, because 41145345 - 27 = 41145217 is a prime.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 53121 + ... + 53889.

It is an arithmetic number, because the mean of its divisors is an integer number (1576575).

Almost surely, 241145345 is an apocalyptic number.

41145345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41145345 is a deficient number, since it is larger than the sum of its proper divisors (34530255).

41145345 is a wasteful number, since it uses less digits than its factorization.

41145345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 847 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 41145345 is about 6414.4637344052. The cubic root of 41145345 is about 345.2287078345.

Adding to 41145345 its reverse (54354114), we get a palindrome (95499459).

The spelling of 41145345 in words is "forty-one million, one hundred forty-five thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 29 41 45 87 123 145 205 261 369 435 615 769 1189 1305 1845 2307 3567 3845 5945 6921 10701 11535 17835 22301 31529 34605 53505 66903 94587 111505 157645 200709 283761 334515 472935 914341 1003545 1418805 2743023 4571705 8229069 13715115 41145345