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41381424 = 2432761673
BaseRepresentation
bin1001110111011…
…0111000110000
32212212101122100
42131312320300
541043201144
64034540400
71011510360
oct235667060
985771570
1041381424
11213a4527
1211a37700
13875b566
1456d29a0
153976269
hex2776e30

41381424 has 120 divisors (see below), whose sum is σ = 134724512. Its totient is φ = 11612160.

The previous prime is 41381407. The next prime is 41381443. The reversal of 41381424 is 42418314.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61152 + ... + 61824.

Almost surely, 241381424 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 41381424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67362256).

41381424 is an abundant number, since it is smaller than the sum of its proper divisors (93343088).

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

41381424 is a wasteful number, since it uses less digits than its factorization.

41381424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 746 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 41381424 is about 6432.8394974537. The cubic root of 41381424 is about 345.8877201477.

Adding to 41381424 its reverse (42418314), we get a palindrome (83799738).

The spelling of 41381424 in words is "forty-one million, three hundred eighty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 61 63 72 84 112 122 126 144 168 183 244 252 336 366 427 488 504 549 673 732 854 976 1008 1098 1281 1346 1464 1708 2019 2196 2562 2692 2928 3416 3843 4038 4392 4711 5124 5384 6057 6832 7686 8076 8784 9422 10248 10768 12114 14133 15372 16152 18844 20496 24228 28266 30744 32304 37688 41053 42399 48456 56532 61488 75376 82106 84798 96912 113064 123159 164212 169596 226128 246318 287371 328424 339192 369477 492636 574742 656848 678384 738954 862113 985272 1149484 1477908 1724226 1970544 2298968 2586339 2955816 3448452 4597936 5172678 5911632 6896904 10345356 13793808 20690712 41381424