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41581530 = 2325736329
BaseRepresentation
bin1001111010011…
…1101111011010
32220020120010200
42132213233122
541121102110
64043123030
71013302644
oct236475732
986216120
1041581530
1121520901
1211b13476
1387cb673
145745894
1539b56c0
hex27a7bda

41581530 has 48 divisors (see below), whose sum is σ = 109610280. Its totient is φ = 10934784.

The previous prime is 41581523. The next prime is 41581549. The reversal of 41581530 is 3518514.

It can be written as a sum of positive squares in 4 ways, for example, as 38155329 + 3426201 = 6177^2 + 1851^2 .

It is a junction number, because it is equal to n+sod(n) for n = 41581494 and 41581503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3406 + ... + 9734.

Almost surely, 241581530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41581530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54805140).

41581530 is an abundant number, since it is smaller than the sum of its proper divisors (68028750).

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

41581530 is a wasteful number, since it uses less digits than its factorization.

41581530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6415 (or 6412 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 41581530 is about 6448.3742137069. The cubic root of 41581530 is about 346.4443543007. Note that the first 3 decimals are identical.

The spelling of 41581530 in words is "forty-one million, five hundred eighty-one thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 146 219 365 438 657 730 1095 1314 2190 3285 6329 6570 12658 18987 31645 37974 56961 63290 94935 113922 189870 284805 462017 569610 924034 1386051 2310085 2772102 4158153 4620170 6930255 8316306 13860510 20790765 41581530