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41286240 = 2533519503
BaseRepresentation
bin1001110101111…
…1101001100000
32212200120002000
42131133221200
541032124430
64032524000
71010633022
oct235375140
985616060
1041286240
1121339a66
12119b0600
138727138
1456aa012
153957e60
hex275fa60

41286240 has 192 divisors, whose sum is σ = 152409600. Its totient is φ = 10409472.

The previous prime is 41286239. The next prime is 41286247. The reversal of 41286240 is 4268214.

41286240 is a `hidden beast` number, since 412 + 8 + 6 + 240 = 666.

It is a super-2 number, since 2×412862402 = 3409107226675200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41286247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81829 + ... + 82331.

It is an arithmetic number, because the mean of its divisors is an integer number (793800).

Almost surely, 241286240 is an apocalyptic number.

41286240 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 41286240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76204800).

41286240 is an abundant number, since it is smaller than the sum of its proper divisors (111123360).

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

41286240 is a wasteful number, since it uses less digits than its factorization.

41286240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 41286240 is about 6425.4369501225. The cubic root of 41286240 is about 345.6223172317.

The spelling of 41286240 in words is "forty-one million, two hundred eighty-six thousand, two hundred forty".