Search a number
-
+
41326800 = 2435234439
BaseRepresentation
bin1001110110100…
…1100011010000
32212202121201020
42131221203100
541034424200
64033435440
71011162204
oct235514320
985677636
1041326800
1121367489
1211a0bb80
13873c738
1456bab04
153964ea0
hex27698d0

41326800 has 60 divisors (see below), whose sum is σ = 132387360. Its totient is φ = 11020160.

The previous prime is 41326799. The next prime is 41326801. The reversal of 41326800 is 862314.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (41326799) and next prime (41326801).

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41326801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16020 + ... + 18419.

It is an arithmetic number, because the mean of its divisors is an integer number (2206456).

Almost surely, 241326800 is an apocalyptic number.

41326800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41326800 is an abundant number, since it is smaller than the sum of its proper divisors (91060560).

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

41326800 is a wasteful number, since it uses less digits than its factorization.

41326800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34460 (or 34449 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 41326800 is about 6428.5923809182. The cubic root of 41326800 is about 345.7354610868.

The spelling of 41326800 in words is "forty-one million, three hundred twenty-six thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 34439 68878 103317 137756 172195 206634 275512 344390 413268 516585 551024 688780 826536 860975 1033170 1377560 1653072 1721950 2066340 2582925 2755120 3443900 4132680 5165850 6887800 8265360 10331700 13775600 20663400 41326800