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41453820 = 2232517192331
BaseRepresentation
bin1001111000100…
…0100011111100
32220000001221200
42132020203330
541103010240
64040255500
71012231422
oct236104374
986001850
1041453820
1121443961
1211a71590
1387854b5
145711112
15398c930
hex27888fc

41453820 has 288 divisors, whose sum is σ = 150958080. Its totient is φ = 9123840.

The previous prime is 41453807. The next prime is 41453821. The reversal of 41453820 is 2835414.

41453820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41453821) 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 95 ways as a sum of consecutive naturals, for example, 1337205 + ... + 1337235.

It is an arithmetic number, because the mean of its divisors is an integer number (524160).

Almost surely, 241453820 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 41453820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75479040).

41453820 is an abundant number, since it is smaller than the sum of its proper divisors (109504260).

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

41453820 is a wasteful number, since it uses less digits than its factorization.

41453820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 41453820 is about 6438.4641025636. The cubic root of 41453820 is about 346.0893105901.

The spelling of 41453820 in words is "forty-one million, four hundred fifty-three thousand, eight hundred twenty".