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41212368 = 2433195021
BaseRepresentation
bin1001110100110…
…1100111010000
32212112210202000
42131031213100
541022243433
64031154000
71010204451
oct235154720
985483660
1041212368
112129950a
1211975900
1386cc622
14568b128
153941113
hex274d9d0

41212368 has 80 divisors (see below), whose sum is σ = 124545600. Its totient is φ = 13011840.

The previous prime is 41212351. The next prime is 41212399. The reversal of 41212368 is 86321214.

41212368 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 nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 5698 + ... + 10718.

It is an arithmetic number, because the mean of its divisors is an integer number (1556820).

Almost surely, 241212368 is an apocalyptic number.

41212368 is a gapful number since it is divisible by the number (48) 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 41212368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62272800).

41212368 is an abundant number, since it is smaller than the sum of its proper divisors (83333232).

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

41212368 is a wasteful number, since it uses less digits than its factorization.

41212368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5057 (or 5045 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 41212368 is about 6419.6859736283. The cubic root of 41212368 is about 345.4160575941.

The spelling of 41212368 in words is "forty-one million, two hundred twelve thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 2052 2736 4104 5021 8208 10042 15063 20084 30126 40168 45189 60252 80336 90378 95399 120504 135567 180756 190798 241008 271134 286197 361512 381596 542268 572394 723024 763192 858591 1084536 1144788 1526384 1717182 2169072 2289576 2575773 3434364 4579152 5151546 6868728 10303092 13737456 20606184 41212368