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41448816 = 2432733943
BaseRepresentation
bin1001111000011…
…1010101110000
32212222211002100
42132013111300
541102330231
64040220400
71012211013
oct236072560
985884070
1041448816
1121440122
1211a6a700
138783136
14570d37a
15398b1e6
hex2787570

41448816 has 60 divisors (see below), whose sum is σ = 117617968. Its totient is φ = 13623552.

The previous prime is 41448811. The next prime is 41448817. The reversal of 41448816 is 61884414.

41448816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41448811) 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 11 ways as a sum of consecutive naturals, for example, 8541 + ... + 12483.

Almost surely, 241448816 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 41448816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58808984).

41448816 is an abundant number, since it is smaller than the sum of its proper divisors (76169152).

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

41448816 is a wasteful number, since it uses less digits than its factorization.

41448816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4030 (or 4021 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 41448816 is about 6438.0754888398. The cubic root of 41448816 is about 346.0753842451.

The spelling of 41448816 in words is "forty-one million, four hundred forty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 584 657 876 1168 1314 1752 2628 3504 3943 5256 7886 10512 11829 15772 23658 31544 35487 47316 63088 70974 94632 141948 189264 283896 287839 567792 575678 863517 1151356 1727034 2302712 2590551 3454068 4605424 5181102 6908136 10362204 13816272 20724408 41448816