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41814840 = 2335348457
BaseRepresentation
bin1001111110000…
…0101100111000
32220200102011210
42133200230320
541201033330
64052123120
71015264104
oct237405470
986612153
1041814840
1121670121
12120064a0
138880912
1457a6904
153a0e8b0
hex27e0b38

41814840 has 32 divisors (see below), whose sum is σ = 125444880. Its totient is φ = 11150592.

The previous prime is 41814833. The next prime is 41814841. The reversal of 41814840 is 4841814.

41814840 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 41814798 and 41814807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41814841) 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 7 ways as a sum of consecutive naturals, for example, 174109 + ... + 174348.

Almost surely, 241814840 is an apocalyptic number.

41814840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41814840 is an abundant number, since it is smaller than the sum of its proper divisors (83630040).

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

41814840 is a wasteful number, since it uses less digits than its factorization.

41814840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348471 (or 348467 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 41814840 is about 6466.4395149108. The cubic root of 41814840 is about 347.0911016050.

The spelling of 41814840 in words is "forty-one million, eight hundred fourteen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 348457 696914 1045371 1393828 1742285 2090742 2787656 3484570 4181484 5226855 6969140 8362968 10453710 13938280 20907420 41814840