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41818420 = 22572811063
BaseRepresentation
bin1001111110000…
…1100100110100
32220200121002101
42133201210310
541201142140
64052151444
71015310410
oct237414464
986617071
1041818420
1121672886
1212008584
138882437
1457a7d40
153a1099a
hex27e1934

41818420 has 48 divisors (see below), whose sum is σ = 100816128. Its totient is φ = 14273280.

The previous prime is 41818397. The next prime is 41818429. The reversal of 41818420 is 2481814.

41818420 = T69 + T70 + ... + T630.

41818420 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 (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41818429) 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 15 ways as a sum of consecutive naturals, for example, 38809 + ... + 39871.

It is an arithmetic number, because the mean of its divisors is an integer number (2100336).

Almost surely, 241818420 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 41818420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50408064).

41818420 is an abundant number, since it is smaller than the sum of its proper divisors (58997708).

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

41818420 is a wasteful number, since it uses less digits than its factorization.

41818420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 41818420 is about 6466.7163228334. The cubic root of 41818420 is about 347.1010067860.

The spelling of 41818420 in words is "forty-one million, eight hundred eighteen thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 281 562 1063 1124 1405 1967 2126 2810 3934 4252 5315 5620 7441 7868 9835 10630 14882 19670 21260 29764 37205 39340 74410 148820 298703 597406 1194812 1493515 2090921 2987030 4181842 5974060 8363684 10454605 20909210 41818420