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2538486036 = 22321713131663
BaseRepresentation
bin1001011101001110…
…0011100100010100
320112220121110012100
42113103203210110
520144323023121
61055520322100
7116622526632
oct22723434424
96486543170
102538486036
111092a00149
125aa173330
13315bb5b58
141a11cc352
15eccce026
hex974e3914

2538486036 has 72 divisors (see below), whose sum is σ = 6846263424. Its totient is φ = 790283520.

The previous prime is 2538485969. The next prime is 2538486043. The reversal of 2538486036 is 6306848352.

It is a happy number.

2538486036 is a `hidden beast` number, since 2 + 5 + 38 + 4 + 8 + 603 + 6 = 666.

It is a super-3 number, since 3×25384860363 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2538485982 and 2538486000.

It is a congruent number.

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, 64341 + ... + 96003.

It is an arithmetic number, because the mean of its divisors is an integer number (95086992).

Almost surely, 22538486036 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 2538486036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3423131712).

2538486036 is an abundant number, since it is smaller than the sum of its proper divisors (4307777388).

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

2538486036 is a wasteful number, since it uses less digits than its factorization.

2538486036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31821 (or 31816 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 2538486036 is about 50383.3904774183. The cubic root of 2538486036 is about 1364.1378510959.

The spelling of 2538486036 in words is "two billion, five hundred thirty-eight million, four hundred eighty-six thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 131 153 204 262 306 393 524 612 786 1179 1572 2227 2358 4454 4716 6681 8908 13362 20043 26724 31663 40086 63326 80172 94989 126652 189978 284967 379956 538271 569934 1076542 1139868 1614813 2153084 3229626 4147853 4844439 6459252 8295706 9688878 12443559 16591412 19377756 24887118 37330677 49774236 70513501 74661354 141027002 149322708 211540503 282054004 423081006 634621509 846162012 1269243018 2538486036