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41286096 = 2432409701
BaseRepresentation
bin1001110101111…
…1100111010000
32212200112212200
42131133213100
541032123341
64032523200
71010632425
oct235374720
985615780
1041286096
1121339945
12119b0500
138727057
1456a9d4c
153957db6
hex275f9d0

41286096 has 60 divisors (see below), whose sum is σ = 115991460. Its totient is φ = 13708800.

The previous prime is 41286083. The next prime is 41286097. The reversal of 41286096 is 69068214.

41286096 is a `hidden beast` number, since 41 + 2 + 8 + 609 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 36723600 + 4562496 = 6060^2 + 2136^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 41286096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41286097) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58546 + ... + 59246.

It is an arithmetic number, because the mean of its divisors is an integer number (1933191).

It is a vampire number, since it can be written as 42069816 (with its own digits).

Almost surely, 241286096 is an apocalyptic number.

It is an amenable number.

41286096 is an abundant number, since it is smaller than the sum of its proper divisors (74705364).

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

41286096 is a wasteful number, since it uses less digits than its factorization.

41286096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 41286096 is about 6425.4257446491. The cubic root of 41286096 is about 345.6219154055.

The spelling of 41286096 in words is "forty-one million, two hundred eighty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 409 701 818 1227 1402 1636 2103 2454 2804 3272 3681 4206 4908 5608 6309 6544 7362 8412 9816 11216 12618 14724 16824 19632 25236 29448 33648 50472 58896 100944 286709 573418 860127 1146836 1720254 2293672 2580381 3440508 4587344 5160762 6881016 10321524 13762032 20643048 41286096