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41138112 = 2631671283
BaseRepresentation
bin1001110011101…
…1011111000000
32212102000212210
42130323133000
541012404422
64025422120
71006445121
oct234733700
985360783
1041138112
1121248744
121193a940
1386a48a2
14566c048
15392910c
hex273b7c0

41138112 has 56 divisors (see below), whose sum is σ = 109581696. Its totient is φ = 13619968.

The previous prime is 41138093. The next prime is 41138161. The reversal of 41138112 is 21183114.

It is a happy number.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

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, 31423 + ... + 32705.

It is an arithmetic number, because the mean of its divisors is an integer number (1956816).

Almost surely, 241138112 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 41138112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54790848).

41138112 is an abundant number, since it is smaller than the sum of its proper divisors (68443584).

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

41138112 is a wasteful number, since it uses less digits than its factorization.

41138112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465 (or 1455 counting only the distinct ones).

The product of its digits is 192, while the sum is 21.

The square root of 41138112 is about 6413.8999056736. The cubic root of 41138112 is about 345.2084772302.

The spelling of 41138112 in words is "forty-one million, one hundred thirty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 167 192 334 501 668 1002 1283 1336 2004 2566 2672 3849 4008 5132 5344 7698 8016 10264 10688 15396 16032 20528 30792 32064 41056 61584 82112 123168 214261 246336 428522 642783 857044 1285566 1714088 2571132 3428176 5142264 6856352 10284528 13712704 20569056 41138112