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41427372 = 223719101257
BaseRepresentation
bin1001111000001…
…0000110101100
32212221201200010
42132002012230
541101133442
64035533220
71012061340
oct236020654
985851603
1041427372
1121425aa8
1211a5a210
13877644c
145705620
153984b9c
hex27821ac

41427372 has 96 divisors (see below), whose sum is σ = 117895680. Its totient is φ = 11059200.

The previous prime is 41427367. The next prime is 41427401. The reversal of 41427372 is 27372414.

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

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 31 ways as a sum of consecutive naturals, for example, 161068 + ... + 161324.

It is an arithmetic number, because the mean of its divisors is an integer number (1228080).

Almost surely, 241427372 is an apocalyptic number.

41427372 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 41427372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58947840).

41427372 is an abundant number, since it is smaller than the sum of its proper divisors (76468308).

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

41427372 is a wasteful number, since it uses less digits than its factorization.

41427372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 389 counting only the distinct ones).

The product of its digits is 9408, while the sum is 30.

The square root of 41427372 is about 6436.4098688632. The cubic root of 41427372 is about 346.0156919833.

Adding to 41427372 its reverse (27372414), we get a palindrome (68799786).

The spelling of 41427372 in words is "forty-one million, four hundred twenty-seven thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 101 114 133 202 228 257 266 303 399 404 514 532 606 707 771 798 1028 1212 1414 1542 1596 1799 1919 2121 2828 3084 3598 3838 4242 4883 5397 5757 7196 7676 8484 9766 10794 11514 13433 14649 19532 21588 23028 25957 26866 29298 34181 40299 51914 53732 58596 68362 77871 80598 102543 103828 136724 155742 161196 181699 205086 311484 363398 410172 493183 545097 726796 986366 1090194 1479549 1972732 2180388 2959098 3452281 5918196 6904562 10356843 13809124 20713686 41427372