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41064426 = 232131131553
BaseRepresentation
bin1001110010100…
…1011111101010
32212021021210200
42130221133222
541003030201
64024053030
71006020234
oct234513752
985237720
1041064426
11211a8347
1211904176
13867a1a0
14564d254
153912386
hex27297ea

41064426 has 48 divisors (see below), whose sum is σ = 96727176. Its totient is φ = 12515328.

The previous prime is 41064409. The next prime is 41064431. The reversal of 41064426 is 62446014.

41064426 is a `hidden beast` number, since 4 + 10 + 644 + 2 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7017201 + 34047225 = 2649^2 + 5835^2 .

It is a super-3 number, since 3×410644263 (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 41064426.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25666 + ... + 27218.

Almost surely, 241064426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41064426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48363588).

41064426 is an abundant number, since it is smaller than the sum of its proper divisors (55662750).

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

41064426 is a wasteful number, since it uses less digits than its factorization.

41064426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1684 counting only the distinct ones).

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

The square root of 41064426 is about 6408.1530880590. The cubic root of 41064426 is about 345.0022432116.

Adding to 41064426 its sum of digits (27), we get a triangular number (41064453 = T9062).

The spelling of 41064426 in words is "forty-one million, sixty-four thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 113 117 226 234 339 678 1017 1469 1553 2034 2938 3106 4407 4659 8814 9318 13221 13977 20189 26442 27954 40378 60567 121134 175489 181701 350978 363402 526467 1052934 1579401 2281357 3158802 4562714 6844071 13688142 20532213 41064426