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52041136 = 2472411619
BaseRepresentation
bin1100011010000…
…1010110110000
310121220222000111
43012201112300
5101310304021
65055231104
71201225300
oct306412660
9117828014
1052041136
1127415304
1215518494
13aa21494
146ca9600
15487e8e1
hex31a15b0

52041136 has 60 divisors (see below), whose sum is σ = 120226680. Its totient is φ = 21745920.

The previous prime is 52041107. The next prime is 52041139. The reversal of 52041136 is 63114025.

It is not an unprimeable number, because it can be changed into a prime (52041139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31335 + ... + 32953.

It is an arithmetic number, because the mean of its divisors is an integer number (2003778).

Almost surely, 252041136 is an apocalyptic number.

52041136 is a gapful number since it is divisible by the number (56) 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 52041136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60113340).

52041136 is an abundant number, since it is smaller than the sum of its proper divisors (68185544).

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

52041136 is a wasteful number, since it uses less digits than its factorization.

52041136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 52041136 is about 7213.9542554690. The cubic root of 52041136 is about 373.3495131877.

The spelling of 52041136 in words is "fifty-two million, forty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 41 49 56 82 98 112 164 196 287 328 392 574 656 784 1148 1619 2009 2296 3238 4018 4592 6476 8036 11333 12952 16072 22666 25904 32144 45332 66379 79331 90664 132758 158662 181328 265516 317324 464653 531032 634648 929306 1062064 1269296 1858612 3252571 3717224 6505142 7434448 13010284 26020568 52041136