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41805072 = 243432257
BaseRepresentation
bin1001111101111…
…0010100010000
32220122220210000
42133132110100
541200230242
64052010000
71015223451
oct237362420
986586700
1041805072
1121663851
1212000900
13887933a
1457a3128
153a0ba4c
hex27de510

41805072 has 50 divisors (see below), whose sum is σ = 120999758. Its totient is φ = 13934592.

The previous prime is 41805061. The next prime is 41805077. The reversal of 41805072 is 27050814.

41805072 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 only one way, i.e., 31539456 + 10265616 = 5616^2 + 3204^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (41805077) 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 9 ways as a sum of consecutive naturals, for example, 14833 + ... + 17424.

Almost surely, 241805072 is an apocalyptic number.

It is an amenable number.

41805072 is an abundant number, since it is smaller than the sum of its proper divisors (79194686).

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

41805072 is a wasteful number, since it uses less digits than its factorization.

41805072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32277 (or 32262 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 41805072 is about 6465.6841865343. The cubic root of 41805072 is about 347.0640725254.

Adding to 41805072 its reverse (27050814), we get a palindrome (68855886).

The spelling of 41805072 in words is "forty-one million, eight hundred five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 32257 64514 96771 129028 193542 258056 290313 387084 516112 580626 774168 870939 1161252 1548336 1741878 2322504 2612817 3483756 4645008 5225634 6967512 10451268 13935024 20902536 41805072