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41046426 = 234298737
BaseRepresentation
bin1001110010010…
…1000110011010
32212020101010000
42130211012122
541001441201
64023433430
71005613611
oct234450632
985211100
1041046426
1121195873
12118b5876
138671c35
145646878
15390bd86
hex272519a

41046426 has 40 divisors (see below), whose sum is σ = 95156820. Its totient is φ = 13208832.

The previous prime is 41046419. The next prime is 41046437. The reversal of 41046426 is 62464014.

41046426 is a `hidden beast` number, since 4 + 10 + 4 + 642 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40947201 + 99225 = 6399^2 + 315^2 .

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

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 41046426.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 330 + ... + 9066.

Almost surely, 241046426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41046426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47578410).

41046426 is an abundant number, since it is smaller than the sum of its proper divisors (54110394).

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

41046426 is a wasteful number, since it uses less digits than its factorization.

41046426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8780 (or 8771 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 41046426 is about 6406.7484732897. The cubic root of 41046426 is about 344.9518269222.

The spelling of 41046426 in words is "forty-one million, forty-six thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 261 522 783 1566 2349 4698 8737 17474 26211 52422 78633 157266 235899 253373 471798 506746 707697 760119 1415394 1520238 2280357 4560714 6841071 13682142 20523213 41046426