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41368200 = 2335268947
BaseRepresentation
bin1001110111001…
…1101010001000
32212211201111120
42131303222020
541042240300
64034355240
71011423666
oct235635210
985751446
1041368200
11213955a5
1211a2bb20
138755533
1456cbc36
1539723a0
hex2773a88

41368200 has 48 divisors (see below), whose sum is σ = 128243280. Its totient is φ = 11031360.

The previous prime is 41368189. The next prime is 41368219. The reversal of 41368200 is 286314.

It is a happy number.

41368200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×413682003 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 13.

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 11 ways as a sum of consecutive naturals, for example, 33874 + ... + 35073.

It is an arithmetic number, because the mean of its divisors is an integer number (2671735).

Almost surely, 241368200 is an apocalyptic number.

41368200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41368200 is an abundant number, since it is smaller than the sum of its proper divisors (86875080).

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

41368200 is a wasteful number, since it uses less digits than its factorization.

41368200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68966 (or 68957 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 41368200 is about 6431.8115644039. The cubic root of 41368200 is about 345.8508718384.

The spelling of 41368200 in words is "forty-one million, three hundred sixty-eight thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 68947 137894 206841 275788 344735 413682 551576 689470 827364 1034205 1378940 1654728 1723675 2068410 2757880 3447350 4136820 5171025 6894700 8273640 10342050 13789400 20684100 41368200