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41005146 = 23713253109
BaseRepresentation
bin1001110001101…
…1000001011010
32212011021111010
42130123001122
540444131041
64022514350
71005352350
oct234330132
985137433
1041005146
1121167856
12118959b6
138659200
1456357d0
1538eea16
hex271b05a

41005146 has 96 divisors (see below), whose sum is σ = 104353920. Its totient is φ = 10513152.

The previous prime is 41005109. The next prime is 41005163. The reversal of 41005146 is 64150014.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 376140 + ... + 376248.

It is an arithmetic number, because the mean of its divisors is an integer number (1087020).

Almost surely, 241005146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41005146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52176960).

41005146 is an abundant number, since it is smaller than the sum of its proper divisors (63348774).

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

41005146 is a wasteful number, since it uses less digits than its factorization.

41005146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 41005146 is about 6403.5260599142. The cubic root of 41005146 is about 344.8361498786.

The spelling of 41005146 in words is "forty-one million, five thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 53 78 91 106 109 159 169 182 218 273 318 327 338 371 507 546 654 689 742 763 1014 1113 1183 1378 1417 1526 2067 2226 2289 2366 2834 3549 4134 4251 4578 4823 5777 7098 8502 8957 9646 9919 11554 14469 17331 17914 18421 19838 26871 28938 29757 34662 36842 40439 53742 55263 59514 62699 75101 80878 110526 121317 125398 128947 150202 188097 225303 242634 257894 376194 386841 450606 525707 773682 976313 1051414 1577121 1952626 2928939 3154242 5857878 6834191 13668382 20502573 41005146