Search a number
-
+
41220312 = 23371092251
BaseRepresentation
bin1001110100111…
…1100011011000
32212120012122020
42131033203120
541023022222
64031254440
71010236560
oct235174330
985505566
1041220312
11212a4481
121197a420
138703123
14568dda0
15394365c
hex274f8d8

41220312 has 64 divisors (see below), whose sum is σ = 118905600. Its totient is φ = 11664000.

The previous prime is 41220307. The next prime is 41220313. The reversal of 41220312 is 21302214.

It is a super-2 number, since 2×412203122 = 3398228242754688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41220291 and 41220300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41220313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17187 + ... + 19437.

It is an arithmetic number, because the mean of its divisors is an integer number (1857900).

Almost surely, 241220312 is an apocalyptic number.

41220312 is a gapful number since it is divisible by the number (42) 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 41220312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59452800).

41220312 is an abundant number, since it is smaller than the sum of its proper divisors (77685288).

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

41220312 is a wasteful number, since it uses less digits than its factorization.

41220312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2376 (or 2372 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 41220312 is about 6420.3046656681. The cubic root of 41220312 is about 345.4382500330.

Adding to 41220312 its reverse (21302214), we get a palindrome (62522526).

The spelling of 41220312 in words is "forty-one million, two hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 109 168 218 327 436 654 763 872 1308 1526 2251 2289 2616 3052 4502 4578 6104 6753 9004 9156 13506 15757 18008 18312 27012 31514 47271 54024 63028 94542 126056 189084 245359 378168 490718 736077 981436 1472154 1717513 1962872 2944308 3435026 5152539 5888616 6870052 10305078 13740104 20610156 41220312