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40581324 = 2234729617
BaseRepresentation
bin1001101011001…
…1100011001100
32211100202010000
42122303203030
540342100244
64005444300
71001635620
oct232634314
984322100
1040581324
11209a8393
1211710690
13853b324
145565180
153869169
hex26b38cc

40581324 has 120 divisors (see below), whose sum is σ = 125627040. Its totient is φ = 11176704.

The previous prime is 40581313. The next prime is 40581337. The reversal of 40581324 is 42318504.

40581324 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 (27).

It is a nialpdrome in base 9.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 65464 + ... + 66080.

It is an arithmetic number, because the mean of its divisors is an integer number (1046892).

Almost surely, 240581324 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 40581324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62813520).

40581324 is an abundant number, since it is smaller than the sum of its proper divisors (85045716).

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

40581324 is a wasteful number, since it uses less digits than its factorization.

40581324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 40581324 is about 6370.3472432827. The cubic root of 40581324 is about 343.6439777053.

Adding to 40581324 its reverse (42318504), we get a palindrome (82899828).

The spelling of 40581324 in words is "forty million, five hundred eighty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 29 36 42 54 58 63 81 84 87 108 116 126 162 174 189 203 252 261 324 348 378 406 522 567 609 617 756 783 812 1044 1134 1218 1234 1566 1827 1851 2268 2349 2436 2468 3132 3654 3702 4319 4698 5481 5553 7308 7404 8638 9396 10962 11106 12957 16443 16659 17276 17893 21924 22212 25914 32886 33318 35786 38871 49977 51828 53679 65772 66636 71572 77742 99954 107358 116613 125251 155484 161037 199908 214716 233226 250502 322074 349839 375753 466452 483111 501004 644148 699678 751506 966222 1127259 1399356 1449333 1503012 1932444 2254518 2898666 3381777 4509036 5797332 6763554 10145331 13527108 20290662 40581324