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3830008536 = 23365312391
BaseRepresentation
bin1110010001001001…
…0100101011011000
3100212220211121000000
43210102110223120
530320440233121
61432014213000
7163624351434
oct34422245330
910786747000
103830008536
111695a38112
128aa7b4160
13490643253
142849439c4
15176397526
hexe4494ad8

3830008536 has 112 divisors (see below), whose sum is σ = 10971009360. Its totient is φ = 1252480320.

The previous prime is 3830008531. The next prime is 3830008571. The reversal of 3830008536 is 6358000383.

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 3830008536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3830008531) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 302901 + ... + 315291.

Almost surely, 23830008536 is an apocalyptic number.

3830008536 is a gapful number since it is divisible by the number (36) 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 3830008536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5485504680).

3830008536 is an abundant number, since it is smaller than the sum of its proper divisors (7141000824).

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

3830008536 is a wasteful number, since it uses less digits than its factorization.

3830008536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12468 (or 12449 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3830008536 is about 61887.0627514346. The cubic root of 3830008536 is about 1564.5877080835.

The spelling of 3830008536 in words is "three billion, eight hundred thirty million, eight thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 81 106 108 159 162 212 216 243 318 324 424 477 486 636 648 729 954 972 1272 1431 1458 1908 1944 2862 2916 3816 4293 5724 5832 8586 11448 12391 12879 17172 24782 25758 34344 37173 38637 49564 51516 74346 77274 99128 103032 111519 148692 154548 223038 297384 309096 334557 446076 656723 669114 892152 1003671 1313446 1338228 1970169 2007342 2626892 2676456 3011013 3940338 4014684 5253784 5910507 6022026 7880676 8029368 9033039 11821014 12044052 15761352 17731521 18066078 23642028 24088104 35463042 36132156 47284056 53194563 70926084 72264312 106389126 141852168 159583689 212778252 319167378 425556504 478751067 638334756 957502134 1276669512 1915004268 3830008536