Search a number
-
+
41221440 = 2633513367
BaseRepresentation
bin1001110100111…
…1110101000000
32212120021012000
42131033311000
541023041230
64031304000
71010243061
oct235176500
985507160
1041221440
11212a5307
121197b000
1387037b0
145690568
153943b60
hex274fd40

41221440 has 224 divisors, whose sum is σ = 157032960. Its totient is φ = 10119168.

The previous prime is 41221417. The next prime is 41221463. The reversal of 41221440 is 4412214.

41221440 is a `hidden beast` number, since 4 + 1 + 221 + 440 = 666.

41221440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41221417) and next prime (41221463).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 112137 + ... + 112503.

It is an arithmetic number, because the mean of its divisors is an integer number (701040).

Almost surely, 241221440 is an apocalyptic number.

41221440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78516480).

41221440 is an abundant number, since it is smaller than the sum of its proper divisors (115811520).

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

41221440 is a wasteful number, since it uses less digits than its factorization.

41221440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 41221440 is about 6420.3925113656. The cubic root of 41221440 is about 345.4414009940.

Adding to 41221440 its reverse (4412214), we get a palindrome (45633654).

The spelling of 41221440 in words is "forty-one million, two hundred twenty-one thousand, four hundred forty".