Search a number
-
+
41661664 = 2511711667
BaseRepresentation
bin1001111011101…
…1010011100000
32220101122001121
42132323103200
541131133124
64044542024
71014055402
oct236732340
986348047
1041661664
1121576030
1211b51914
138828c95
145766b72
1539ce2e4
hex27bb4e0

41661664 has 48 divisors (see below), whose sum is σ = 90792576. Its totient is φ = 18659200.

The previous prime is 41661649. The next prime is 41661673. The reversal of 41661664 is 46616614.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24159 + ... + 25825.

It is an arithmetic number, because the mean of its divisors is an integer number (1891512).

Almost surely, 241661664 is an apocalyptic number.

41661664 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 41661664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45396288).

41661664 is an abundant number, since it is smaller than the sum of its proper divisors (49130912).

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

41661664 is a wasteful number, since it uses less digits than its factorization.

41661664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1759 (or 1751 counting only the distinct ones).

The product of its digits is 20736, while the sum is 34.

The square root of 41661664 is about 6454.5847271533. The cubic root of 41661664 is about 346.6667619987. Note that the first 3 decimals are identical.

The spelling of 41661664 in words is "forty-one million, six hundred sixty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 71 88 142 176 284 352 568 781 1136 1562 1667 2272 3124 3334 6248 6668 12496 13336 18337 24992 26672 36674 53344 73348 118357 146696 236714 293392 473428 586784 946856 1301927 1893712 2603854 3787424 5207708 10415416 20830832 41661664