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52109824 = 29137829
BaseRepresentation
bin1100011011001…
…0001000000000
310122001110020111
43012302020000
5101320003244
65100521104
71201632454
oct306621000
9118043214
1052109824
1127461978
1215550194
13aa46820
146cc6664
154894e34
hex31b2200

52109824 has 40 divisors (see below), whose sum is σ = 112141260. Its totient is φ = 24047616.

The previous prime is 52109821. The next prime is 52109843. The reversal of 52109824 is 42890125.

It can be written as a sum of positive squares in 2 ways, for example, as 44089600 + 8020224 = 6640^2 + 2832^2 .

It is not an unprimeable number, because it can be changed into a prime (52109821) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2742 + ... + 10570.

Almost surely, 252109824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52109824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56070630).

52109824 is an abundant number, since it is smaller than the sum of its proper divisors (60031436).

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

52109824 is an equidigital number, since it uses as much as digits as its factorization.

52109824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7860 (or 7844 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 52109824 is about 7218.7134587820. The cubic root of 52109824 is about 373.5136996947.

Adding to 52109824 its reverse (42890125), we get a palindrome (94999949).

The spelling of 52109824 in words is "fifty-two million, one hundred nine thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1664 3328 6656 7829 15658 31316 62632 101777 125264 203554 250528 407108 501056 814216 1002112 1628432 2004224 3256864 4008448 6513728 13027456 26054912 52109824