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2531011028 = 2271359671759
BaseRepresentation
bin1001011011011100…
…0010100111010100
320112101112200102012
42112313002213110
520140414323103
61055052203352
7116502144620
oct22667024724
96471480365
102531011028
111089765057
125a7769558
13314499680
141a0204180
15ec3042d8
hex96dc29d4

2531011028 has 96 divisors (see below), whose sum is σ = 5629747200. Its totient is φ = 969065856.

The previous prime is 2531010991. The next prime is 2531011031. The reversal of 2531011028 is 8201101352.

It is a happy number.

2531011028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2531010994 and 2531011012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1438013 + ... + 1439771.

It is an arithmetic number, because the mean of its divisors is an integer number (58643200).

Almost surely, 22531011028 is an apocalyptic number.

2531011028 is a gapful number since it is divisible by the number (28) 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 2531011028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2814873600).

2531011028 is an abundant number, since it is smaller than the sum of its proper divisors (3098736172).

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

2531011028 is a wasteful number, since it uses less digits than its factorization.

2531011028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1909 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 2531011028 is about 50309.1545148594. The cubic root of 2531011028 is about 1362.7975552801.

The spelling of 2531011028 in words is "two billion, five hundred thirty-one million, eleven thousand, twenty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 59 67 91 118 134 182 236 268 364 413 469 767 826 871 938 1534 1652 1742 1759 1876 3068 3484 3518 3953 5369 6097 7036 7906 10738 12194 12313 15812 21476 22867 24388 24626 27671 45734 49252 51389 55342 91468 102778 103781 110684 117853 160069 205556 207562 235706 320138 359723 415124 471412 640276 719446 726467 824971 1349153 1438892 1452934 1532089 1649942 2698306 2905868 3064178 3299884 5396612 6128356 6953327 9444071 10724623 13906654 18888142 21449246 27813308 37776284 42898492 48673289 90393251 97346578 180786502 194693156 361573004 632752757 1265505514 2531011028