Search a number
-
+
41664378 = 23719109479
BaseRepresentation
bin1001111011101…
…1111101111010
32220101202210010
42132323331322
541131230003
64045002350
71014066330
oct236737572
986352703
1041664378
1121578078
1211b533b6
13882a2a2
145767b50
1539d0003
hex27bbf7a

41664378 has 64 divisors (see below), whose sum is σ = 101376000. Its totient is φ = 11150784.

The previous prime is 41664367. The next prime is 41664379. The reversal of 41664378 is 87346614.

It is not an unprimeable number, because it can be changed into a prime (41664379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86743 + ... + 87221.

It is an arithmetic number, because the mean of its divisors is an integer number (1584000).

Almost surely, 241664378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41664378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50688000).

41664378 is an abundant number, since it is smaller than the sum of its proper divisors (59711622).

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

41664378 is a wasteful number, since it uses less digits than its factorization.

41664378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619.

The product of its digits is 96768, while the sum is 39.

The square root of 41664378 is about 6454.7949618869. The cubic root of 41664378 is about 346.6742895677.

The spelling of 41664378 in words is "forty-one million, six hundred sixty-four thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 109 114 133 218 266 327 399 479 654 763 798 958 1437 1526 2071 2289 2874 3353 4142 4578 6213 6706 9101 10059 12426 14497 18202 20118 27303 28994 43491 52211 54606 63707 86982 104422 127414 156633 191121 313266 365477 382242 730954 992009 1096431 1984018 2192862 2976027 5952054 6944063 13888126 20832189 41664378