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41313220 = 22513198363
BaseRepresentation
bin1001110110011…
…0001111000100
32212201221002021
42131212033010
541034010340
64033252524
71011104464
oct235461704
985657067
1041313220
1121358263
1211a04144
1387364c0
1456b5ba4
153960e4a
hex27663c4

41313220 has 48 divisors (see below), whose sum is σ = 98360640. Its totient is φ = 14449536.

The previous prime is 41313211. The next prime is 41313241. The reversal of 41313220 is 2231314.

It is a happy number.

41313220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 41313194 and 41313203.

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, 759 + ... + 9121.

It is an arithmetic number, because the mean of its divisors is an integer number (2049180).

Almost surely, 241313220 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 41313220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49180320).

41313220 is an abundant number, since it is smaller than the sum of its proper divisors (57047420).

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

41313220 is a wasteful number, since it uses less digits than its factorization.

41313220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8404 (or 8402 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 41313220 is about 6427.5360753558. The cubic root of 41313220 is about 345.6975873429.

Adding to 41313220 its reverse (2231314), we get a palindrome (43544534).

It can be divided in two parts, 413 and 13220, that multiplied together give a triangular number (5459860 = T3304).

The spelling of 41313220 in words is "forty-one million, three hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 260 380 494 988 1235 2470 4940 8363 16726 33452 41815 83630 108719 158897 167260 217438 317794 434876 543595 635588 794485 1087190 1588970 2065661 2174380 3177940 4131322 8262644 10328305 20656610 41313220