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41338112 = 281131429
BaseRepresentation
bin1001110110110…
…0010100000000
32212210012020012
42131230110000
541040304422
64034004052
71011240164
oct235542400
985705205
1041338112
1121374a32
1211a16628
13874492a
1456c0ca4
1539684e2
hex276c500

41338112 has 36 divisors (see below), whose sum is σ = 83303220. Its totient is φ = 20471808.

The previous prime is 41338111. The next prime is 41338133. The reversal of 41338112 is 21183314.

It can be written as a sum of positive squares in 2 ways, for example, as 1597696 + 39740416 = 1264^2 + 6304^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41338111) 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, 28214 + ... + 29642.

Almost surely, 241338112 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 41338112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41651610).

41338112 is an abundant number, since it is smaller than the sum of its proper divisors (41965108).

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

41338112 is a wasteful number, since it uses less digits than its factorization.

41338112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558 (or 1544 counting only the distinct ones).

The product of its digits is 576, while the sum is 23.

The square root of 41338112 is about 6429.4721400750. The cubic root of 41338112 is about 345.7670031915.

The spelling of 41338112 in words is "forty-one million, three hundred thirty-eight thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 113 128 226 256 452 904 1429 1808 2858 3616 5716 7232 11432 14464 22864 28928 45728 91456 161477 182912 322954 365824 645908 1291816 2583632 5167264 10334528 20669056 41338112