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41381928 = 233573041
BaseRepresentation
bin1001110111011…
…1000000101000
32212212102100000
42131313000220
541043210203
64034543000
71011512010
oct235670050
985772300
1041381928
11213a4945
1211a37a60
13875b863
1456d2c40
1539764a3
hex2777028

41381928 has 96 divisors (see below), whose sum is σ = 132874560. Its totient is φ = 11819520.

The previous prime is 41381911. The next prime is 41381939. The reversal of 41381928 is 82918314.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 junction number, because it is equal to n+sod(n) for n = 41381892 and 41381901.

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, 12088 + ... + 15128.

It is an arithmetic number, because the mean of its divisors is an integer number (1384110).

Almost surely, 241381928 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 41381928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66437280).

41381928 is an abundant number, since it is smaller than the sum of its proper divisors (91492632).

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

41381928 is a wasteful number, since it uses less digits than its factorization.

41381928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3069 (or 3053 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 41381928 is about 6432.8786713259. The cubic root of 41381928 is about 345.8891243744.

The spelling of 41381928 in words is "forty-one million, three hundred eighty-one thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 756 972 1134 1512 1701 1944 2268 3041 3402 4536 6082 6804 9123 12164 13608 18246 21287 24328 27369 36492 42574 54738 63861 72984 82107 85148 109476 127722 164214 170296 191583 218952 246321 255444 328428 383166 492642 510888 574749 656856 738963 766332 985284 1149498 1477926 1532664 1724247 1970568 2298996 2955852 3448494 4597992 5172741 5911704 6896988 10345482 13793976 20690964 41381928