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2505275000 = 2355234357
BaseRepresentation
bin1001010101010011…
…0111011001111000
320110121010011012222
42111110313121320
520112322300000
61052332423212
7116040325514
oct22524673170
96417104188
102505275000
111076187208
1259b017b08
1330c058457
1419aa25144
15e9e1da85
hex95537678

2505275000 has 96 divisors (see below), whose sum is σ = 6128045280. Its totient is φ = 958320000.

The previous prime is 2505274873. The next prime is 2505275009. The reversal of 2505275000 is 5725052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505275009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 572822 + ... + 577178.

It is an arithmetic number, because the mean of its divisors is an integer number (63833805).

Almost surely, 22505275000 is an apocalyptic number.

2505275000 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 2505275000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3064022640).

2505275000 is an abundant number, since it is smaller than the sum of its proper divisors (3622770280).

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

2505275000 is an equidigital number, since it uses as much as digits as its factorization.

2505275000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4411 (or 4387 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 26.

The square root of 2505275000 is about 50052.7222036924. The cubic root of 2505275000 is about 1358.1627078975.

The spelling of 2505275000 in words is "two billion, five hundred five million, two hundred seventy-five thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 460 500 575 625 920 1000 1150 1250 2300 2500 2875 3125 4357 4600 5000 5750 6250 8714 11500 12500 14375 17428 21785 23000 25000 28750 34856 43570 57500 71875 87140 100211 108925 115000 143750 174280 200422 217850 287500 400844 435700 501055 544625 575000 801688 871400 1002110 1089250 2004220 2178500 2505275 2723125 4008440 4357000 5010550 5446250 10021100 10892500 12526375 13615625 20042200 21785000 25052750 27231250 50105500 54462500 62631875 100211000 108925000 125263750 250527500 313159375 501055000 626318750 1252637500 2505275000