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41496240 = 2435374673
BaseRepresentation
bin1001111001001…
…0111010110000
32220002020010210
42132102322300
541110334430
64041224120
71012466202
oct236227260
986066123
1041496240
1121472815
1211a92040
13879b8b6
145722772
15399a2b0
hex2792eb0

41496240 has 80 divisors (see below), whose sum is σ = 132143328. Its totient is φ = 10764288.

The previous prime is 41496239. The next prime is 41496263. The reversal of 41496240 is 4269414.

41496240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 41496198 and 41496207.

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 15 ways as a sum of consecutive naturals, for example, 6544 + ... + 11216.

Almost surely, 241496240 is an apocalyptic number.

41496240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41496240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66071664).

41496240 is an abundant number, since it is smaller than the sum of its proper divisors (90647088).

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

41496240 is a wasteful number, since it uses less digits than its factorization.

41496240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4726 (or 4720 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 41496240 is about 6441.7575241544. The cubic root of 41496240 is about 346.2073222606.

The spelling of 41496240 in words is "forty-one million, four hundred ninety-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 4673 8880 9346 14019 18692 23365 28038 37384 46730 56076 70095 74768 93460 112152 140190 172901 186920 224304 280380 345802 373840 518703 560760 691604 864505 1037406 1121520 1383208 1729010 2074812 2593515 2766416 3458020 4149624 5187030 6916040 8299248 10374060 13832080 20748120 41496240