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41338420 = 22512011721
BaseRepresentation
bin1001110110110…
…0011000110100
32212210012122121
42131230120310
541040312140
64034005324
71011241114
oct235543064
985705577
1041338420
1121375192
1211a16844
138744b06
1456c1044
15396864a
hex276c634

41338420 has 24 divisors (see below), whose sum is σ = 86933448. Its totient is φ = 16512000.

The previous prime is 41338417. The next prime is 41338421. The reversal of 41338420 is 2483314.

41338420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 224676 + 41113744 = 474^2 + 6412^2 .

It is a super-3 number, since 3×413384203 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41338421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23160 + ... + 24880.

It is an arithmetic number, because the mean of its divisors is an integer number (3622227).

Almost surely, 241338420 is an apocalyptic number.

It is an amenable number.

41338420 is an abundant number, since it is smaller than the sum of its proper divisors (45595028).

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

41338420 is a wasteful number, since it uses less digits than its factorization.

41338420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2931 (or 2929 counting only the distinct ones).

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

The square root of 41338420 is about 6429.4960922299. The cubic root of 41338420 is about 345.7678619307.

The spelling of 41338420 in words is "forty-one million, three hundred thirty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 1201 1721 2402 3442 4804 6005 6884 8605 12010 17210 24020 34420 2066921 4133842 8267684 10334605 20669210 41338420