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41242968 = 233213139317
BaseRepresentation
bin1001110101010…
…1000101011000
32212121100201100
42131111011120
541024233333
64031551400
71010362614
oct235250530
985540640
1041242968
112130a4a8
121198b560
138710530
145698344
15394a213
hex2755158

41242968 has 96 divisors (see below), whose sum is σ = 121539600. Its totient is φ = 12559104.

The previous prime is 41242963. The next prime is 41243009. The reversal of 41242968 is 86924214.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41242963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129946 + ... + 130262.

Almost surely, 241242968 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 41242968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60769800).

41242968 is an abundant number, since it is smaller than the sum of its proper divisors (80296632).

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

41242968 is a wasteful number, since it uses less digits than its factorization.

41242968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 474 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 41242968 is about 6422.0688255421. The cubic root of 41242968 is about 345.5015264065.

The spelling of 41242968 in words is "forty-one million, two hundred forty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 139 156 234 278 312 317 417 468 556 634 834 936 951 1112 1251 1268 1668 1807 1902 2502 2536 2853 3336 3614 3804 4121 5004 5421 5706 7228 7608 8242 10008 10842 11412 12363 14456 16263 16484 21684 22824 24726 32526 32968 37089 43368 44063 49452 65052 74178 88126 98904 130104 132189 148356 176252 264378 296712 352504 396567 528756 572819 793134 1057512 1145638 1586268 1718457 2291276 3172536 3436914 4582552 5155371 6873828 10310742 13747656 20621484 41242968