Search a number
-
+
2530538800 = 245219332779
BaseRepresentation
bin1001011011010100…
…1111010100110000
320112100122200122021
42112311033110300
520140304220200
61055034121224
7116465140066
oct22665172460
96470580567
102530538800
111089472289
125a7580214
1331436274a
141a0120036
15ec25e41a
hex96d4f530

2530538800 has 60 divisors (see below), whose sum is σ = 6111306520. Its totient is φ = 1006940160.

The previous prime is 2530538783. The next prime is 2530538827. The reversal of 2530538800 is 88350352.

2530538800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60811 + ... + 93589.

Almost surely, 22530538800 is an apocalyptic number.

2530538800 is a gapful number since it is divisible by the number (20) 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 2530538800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3055653260).

2530538800 is an abundant number, since it is smaller than the sum of its proper divisors (3580767720).

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

2530538800 is a wasteful number, since it uses less digits than its factorization.

2530538800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32990 (or 32979 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 2530538800 is about 50304.4610347830. The cubic root of 2530538800 is about 1362.7127945284.

The spelling of 2530538800 in words is "two billion, five hundred thirty million, five hundred thirty-eight thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 193 200 386 400 772 965 1544 1930 3088 3860 4825 7720 9650 15440 19300 32779 38600 65558 77200 131116 163895 262232 327790 524464 655580 819475 1311160 1638950 2622320 3277900 6326347 6555800 12652694 13111600 25305388 31631735 50610776 63263470 101221552 126526940 158158675 253053880 316317350 506107760 632634700 1265269400 2530538800