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41142304 = 257613011
BaseRepresentation
bin1001110011110…
…0100000100000
32212102020122001
42130330200200
541013023204
64025453344
71006463260
oct234744040
985366561
1041142304
1121250905
1211941254
1386a6778
14566d7a0
15392a4a4
hex273c820

41142304 has 48 divisors (see below), whose sum is σ = 94118976. Its totient is φ = 17337600.

The previous prime is 41142281. The next prime is 41142313. The reversal of 41142304 is 40324114.

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, 12159 + ... + 15169.

It is an arithmetic number, because the mean of its divisors is an integer number (1960812).

Almost surely, 241142304 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 41142304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47059488).

41142304 is an abundant number, since it is smaller than the sum of its proper divisors (52976672).

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

41142304 is a wasteful number, since it uses less digits than its factorization.

41142304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3089 (or 3081 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 41142304 is about 6414.2266876062. The cubic root of 41142304 is about 345.2202024871.

Adding to 41142304 its reverse (40324114), we get a palindrome (81466418).

The spelling of 41142304 in words is "forty-one million, one hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 112 122 224 244 427 488 854 976 1708 1952 3011 3416 6022 6832 12044 13664 21077 24088 42154 48176 84308 96352 168616 183671 337232 367342 674464 734684 1285697 1469368 2571394 2938736 5142788 5877472 10285576 20571152 41142304