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41434464 = 253716079
BaseRepresentation
bin1001111000001…
…1110101100000
32212222002101210
42132003311200
541101400324
64040030120
71012121121
oct236036540
985862353
1041434464
1121430365
1211a62340
138779746
145708048
153986d29
hex2783d60

41434464 has 48 divisors (see below), whose sum is σ = 110315520. Its totient is φ = 13614720.

The previous prime is 41434453. The next prime is 41434469. The reversal of 41434464 is 46443414.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41434469) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3777 + ... + 9855.

It is an arithmetic number, because the mean of its divisors is an integer number (2298240).

Almost surely, 241434464 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 41434464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55157760).

41434464 is an abundant number, since it is smaller than the sum of its proper divisors (68881056).

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

41434464 is a wasteful number, since it uses less digits than its factorization.

41434464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6163 (or 6155 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 41434464 is about 6436.9607735328. The cubic root of 41434464 is about 346.0354357996.

Adding to 41434464 its reverse (46443414), we get a palindrome (87877878).

The spelling of 41434464 in words is "forty-one million, four hundred thirty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1704 2272 3408 6079 6816 12158 18237 24316 36474 48632 72948 97264 145896 194528 291792 431609 583584 863218 1294827 1726436 2589654 3452872 5179308 6905744 10358616 13811488 20717232 41434464