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52264836 = 223213181617
BaseRepresentation
bin1100011101011…
…1111110000100
310122100022212200
43013113332010
5101334433321
65104114500
71203146421
oct307277604
9118308780
1052264836
1127558388
1215605a30
13aa9c250
146d26d48
1548c5d26
hex31d7f84

52264836 has 72 divisors (see below), whose sum is σ = 143294424. Its totient is φ = 15966720.

The previous prime is 52264819. The next prime is 52264841. The reversal of 52264836 is 63846225.

52264836 is a `hidden beast` number, since 5 + 2 + 2 + 648 + 3 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9884736 + 42380100 = 3144^2 + 6510^2 .

It is a super-2 number, since 2×522648362 = 5463226164213792, which contains 22 as substring.

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 52264836.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84400 + ... + 85016.

Almost surely, 252264836 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 52264836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71647212).

52264836 is an abundant number, since it is smaller than the sum of its proper divisors (91029588).

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

52264836 is a wasteful number, since it uses less digits than its factorization.

52264836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 816 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 52264836 is about 7229.4423021420. The cubic root of 52264836 is about 373.8836989559.

The spelling of 52264836 in words is "fifty-two million, two hundred sixty-four thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 181 234 362 468 543 617 724 1086 1234 1629 1851 2172 2353 2468 3258 3702 4706 5553 6516 7059 7404 8021 9412 11106 14118 16042 21177 22212 24063 28236 32084 42354 48126 72189 84708 96252 111677 144378 223354 288756 335031 446708 670062 1005093 1340124 1451801 2010186 2903602 4020372 4355403 5807204 8710806 13066209 17421612 26132418 52264836