Search a number
-
+
2500525000 = 2355293449
BaseRepresentation
bin1001010100001010…
…1111101111001000
320110021011211110001
42111002233233020
520110113300000
61052042532344
7115652053231
oct22502575710
96407154401
102500525000
111073532496
125995070b4
1330b0843bc
1419a14a088
15e97d146a
hex950afbc8

2500525000 has 96 divisors (see below), whose sum is σ = 6064065000. Its totient is φ = 965440000.

The previous prime is 2500524979. The next prime is 2500525021. The reversal of 2500525000 is 5250052.

2500525000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2500524979) and next prime (2500525021).

It can be written as a sum of positive squares in 12 ways, for example, as 1969406884 + 531118116 = 44378^2 + 23046^2 .

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, 723276 + ... + 726724.

Almost surely, 22500525000 is an apocalyptic number.

2500525000 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 2500525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3032032500).

2500525000 is an abundant number, since it is smaller than the sum of its proper divisors (3563540000).

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

2500525000 is an equidigital number, since it uses as much as digits as its factorization.

2500525000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3509 (or 3485 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 19.

The square root of 2500525000 is about 50005.2497244039. The cubic root of 2500525000 is about 1357.3038062645.

Adding to 2500525000 its reverse (5250052), we get a palindrome (2505775052).

It can be divided in two parts, 25005 and 25000, that added together give a palindrome (50005).

The spelling of 2500525000 in words is "two billion, five hundred million, five hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 625 725 1000 1160 1250 1450 2500 2900 3125 3449 3625 5000 5800 6250 6898 7250 12500 13796 14500 17245 18125 25000 27592 29000 34490 36250 68980 72500 86225 90625 100021 137960 145000 172450 181250 200042 344900 362500 400084 431125 500105 689800 725000 800168 862250 1000210 1724500 2000420 2155625 2500525 3449000 4000840 4311250 5001050 8622500 10002100 10778125 12502625 17245000 20004200 21556250 25005250 43112500 50010500 62513125 86225000 100021000 125026250 250052500 312565625 500105000 625131250 1250262500 2500525000