Search a number
-
+
41561136 = 2432397727
BaseRepresentation
bin1001111010001…
…0110000110000
32220012112011100
42132202300300
541114424021
64042444400
71013156331
oct236426060
986175140
1041561136
1121507551
1211b03700
1387c22b6
14573c288
1539ae626
hex27a2c30

41561136 has 60 divisors (see below), whose sum is σ = 116766832. Its totient is φ = 13799808.

The previous prime is 41561129. The next prime is 41561137. The reversal of 41561136 is 63116514.

41561136 is a `hidden beast` number, since 4 + 15 + 611 + 36 = 666.

It is a super-2 number, since 2×415611362 = 3454656051220992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (41561137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56805 + ... + 57531.

Almost surely, 241561136 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 41561136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58383416).

41561136 is an abundant number, since it is smaller than the sum of its proper divisors (75205696).

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

41561136 is a wasteful number, since it uses less digits than its factorization.

41561136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1129 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 41561136 is about 6446.7926909433. The cubic root of 41561136 is about 346.3877062203.

The spelling of 41561136 in words is "forty-one million, five hundred sixty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 397 727 794 1191 1454 1588 2181 2382 2908 3176 3573 4362 4764 5816 6352 6543 7146 8724 9528 11632 13086 14292 17448 19056 26172 28584 34896 52344 57168 104688 288619 577238 865857 1154476 1731714 2308952 2597571 3463428 4617904 5195142 6926856 10390284 13853712 20780568 41561136