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41640064 = 27615333
BaseRepresentation
bin1001111011011…
…0000010000000
32220100112102121
42132312002000
541124440224
64044254024
71013635414
oct236660200
986315377
1041640064
1121560884
1211b41314
13881c1bb
14575cd44
1539c7be4
hex27b6080

41640064 has 32 divisors (see below), whose sum is σ = 84330540. Its totient is φ = 20474880.

The previous prime is 41640061. The next prime is 41640083. The reversal of 41640064 is 46004614.

It can be written as a sum of positive squares in 2 ways, for example, as 41473600 + 166464 = 6440^2 + 408^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (41640061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5142 + ... + 10474.

Almost surely, 241640064 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 41640064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42165270).

41640064 is an abundant number, since it is smaller than the sum of its proper divisors (42690476).

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

41640064 is an equidigital number, since it uses as much as digits as its factorization.

41640064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5408 (or 5396 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 41640064 is about 6452.9112809646. The cubic root of 41640064 is about 346.6068404321.

Adding to 41640064 its reverse (46004614), we get a palindrome (87644678).

The spelling of 41640064 in words is "forty-one million, six hundred forty thousand, sixty-four".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 488 976 1952 3904 5333 7808 10666 21332 42664 85328 170656 325313 341312 650626 682624 1301252 2602504 5205008 10410016 20820032 41640064