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2006635652 = 227237893109
BaseRepresentation
bin111011110011010…
…1101010010000100
312011211211122121222
41313212231102010
513102144320102
6531041055512
7100504056500
oct16746552204
95154748558
102006635652
1193a76a07a
12480027598
1325c95b798
14150705300
15bb273aa2
hex779ad484

2006635652 has 72 divisors (see below), whose sum is σ = 4243843800. Its totient is φ = 827076096.

The previous prime is 2006635637. The next prime is 2006635717. The reversal of 2006635652 is 2565366002.

It can be written as a sum of positive squares in 4 ways, for example, as 152127556 + 1854508096 = 12334^2 + 43064^2 .

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, 643874 + ... + 646982.

It is an arithmetic number, because the mean of its divisors is an integer number (58942275).

Almost surely, 22006635652 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 2006635652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2121921900).

2006635652 is an abundant number, since it is smaller than the sum of its proper divisors (2237208148).

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

2006635652 is a wasteful number, since it uses less digits than its factorization.

2006635652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3253 (or 3244 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 35.

The square root of 2006635652 is about 44795.4869601838. The cubic root of 2006635652 is about 1261.3129113157.

The spelling of 2006635652 in words is "two billion, six million, six hundred thirty-five thousand, six hundred fifty-two".

Divisors: 1 2 4 7 14 28 37 49 74 89 98 148 178 196 259 356 518 623 1036 1246 1813 2492 3109 3293 3626 4361 6218 6586 7252 8722 12436 13172 17444 21763 23051 43526 46102 87052 92204 115033 152341 161357 230066 276701 304682 322714 460132 553402 609364 645428 805231 1106804 1610462 1936907 3220924 3873814 5636617 7747628 10237937 11273234 13558349 20475874 22546468 27116698 40951748 54233396 71665559 143331118 286662236 501658913 1003317826 2006635652