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41445768 = 23372132711
BaseRepresentation
bin1001111000011…
…0100110001000
32212222122220110
42132012212020
541102231033
64040154320
71012166100
oct236064610
985878813
1041445768
1121438901
1211a689a0
138781930
14570c200
15398a363
hex2786988

41445768 has 96 divisors (see below), whose sum is σ = 129850560. Its totient is φ = 10926720.

The previous prime is 41445743. The next prime is 41445773. The reversal of 41445768 is 86754414.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 23 ways as a sum of consecutive naturals, for example, 13933 + ... + 16643.

It is an arithmetic number, because the mean of its divisors is an integer number (1352610).

Almost surely, 241445768 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 41445768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64925280).

41445768 is an abundant number, since it is smaller than the sum of its proper divisors (88404792).

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

41445768 is a wasteful number, since it uses less digits than its factorization.

41445768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2747 (or 2736 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 41445768 is about 6437.8387677854. The cubic root of 41445768 is about 346.0669009820.

The spelling of 41445768 in words is "forty-one million, four hundred forty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 182 196 273 294 312 364 392 546 588 637 728 1092 1176 1274 1911 2184 2548 2711 3822 5096 5422 7644 8133 10844 15288 16266 18977 21688 32532 35243 37954 56931 65064 70486 75908 105729 113862 132839 140972 151816 211458 227724 246701 265678 281944 398517 422916 455448 493402 531356 740103 797034 845832 986804 1062712 1480206 1594068 1726907 1973608 2960412 3188136 3453814 5180721 5920824 6907628 10361442 13815256 20722884 41445768