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41466964 = 227113143101
BaseRepresentation
bin1001111000101…
…1110001010100
32220000201222111
42132023301110
541103420324
64040440404
71012314640
oct236136124
986021874
1041466964
1121452820
1211a79104
13878b486
145715c20
153991794
hex278bc54

41466964 has 96 divisors (see below), whose sum is σ = 96509952. Its totient is φ = 15120000.

The previous prime is 41466959. The next prime is 41466977. The reversal of 41466964 is 46966414.

41466964 is nontrivially palindromic in base 6.

41466964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 410514 + ... + 410614.

It is an arithmetic number, because the mean of its divisors is an integer number (1005312).

Almost surely, 241466964 is an apocalyptic number.

41466964 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41466964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48254976).

41466964 is an abundant number, since it is smaller than the sum of its proper divisors (55042988).

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

41466964 is a wasteful number, since it uses less digits than its factorization.

41466964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 195 counting only the distinct ones).

The product of its digits is 124416, while the sum is 40.

The square root of 41466964 is about 6439.4847619977. The cubic root of 41466964 is about 346.1258855643.

The spelling of 41466964 in words is "forty-one million, four hundred sixty-six thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 31 43 44 62 77 86 101 124 154 172 202 217 301 308 341 404 434 473 602 682 707 868 946 1111 1204 1333 1364 1414 1892 2222 2387 2666 2828 3131 3311 4343 4444 4774 5332 6262 6622 7777 8686 9331 9548 12524 13244 14663 15554 17372 18662 21917 29326 30401 31108 34441 37324 43834 47773 58652 60802 68882 87668 95546 102641 121604 134633 137764 191092 205282 241087 269266 334411 410564 482174 538532 668822 942431 964348 1337644 1480963 1884862 2961926 3769724 5923852 10366741 20733482 41466964