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41244320 = 2551379251
BaseRepresentation
bin1001110101010…
…1011010100000
32212121102120102
42131111122200
541024304240
64032001532
71010366555
oct235253240
985542512
1041244320
1121310517
12119902a8
138711030
145698a2c
15394a815
hex27556a0

41244320 has 96 divisors (see below), whose sum is σ = 106686720. Its totient is φ = 14976000.

The previous prime is 41244317. The next prime is 41244331. The reversal of 41244320 is 2344214.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 41244292 and 41244301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164195 + ... + 164445.

It is an arithmetic number, because the mean of its divisors is an integer number (1111320).

Almost surely, 241244320 is an apocalyptic number.

41244320 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 41244320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53343360).

41244320 is an abundant number, since it is smaller than the sum of its proper divisors (65442400).

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

41244320 is a wasteful number, since it uses less digits than its factorization.

41244320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 41244320 is about 6422.1740867093. The cubic root of 41244320 is about 345.5053017003.

Adding to 41244320 its reverse (2344214), we get a palindrome (43588534).

The spelling of 41244320 in words is "forty-one million, two hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 79 80 104 130 158 160 208 251 260 316 395 416 502 520 632 790 1004 1027 1040 1255 1264 1580 2008 2054 2080 2510 2528 3160 3263 4016 4108 5020 5135 6320 6526 8032 8216 10040 10270 12640 13052 16315 16432 19829 20080 20540 26104 32630 32864 39658 40160 41080 52208 65260 79316 82160 99145 104416 130520 158632 164320 198290 257777 261040 317264 396580 515554 522080 634528 793160 1031108 1288885 1586320 2062216 2577770 3172640 4124432 5155540 8248864 10311080 20622160 41244320