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2505273000 = 233531749123
BaseRepresentation
bin1001010101010011…
…0110111010101000
320110121010001110220
42111110312322220
520112322214000
61052332410040
7116040316626
oct22524667250
96417101426
102505273000
11107618575a
1259b016920
1330c057579
1419aa24516
15e9e1d1a0
hex95536ea8

2505273000 has 128 divisors (see below), whose sum is σ = 8276411520. Its totient is φ = 628761600.

The previous prime is 2505272969. The next prime is 2505273041. The reversal of 2505273000 is 3725052.

2505273000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 26439 + ... + 75561.

It is an arithmetic number, because the mean of its divisors is an integer number (64659465).

Almost surely, 22505273000 is an apocalyptic number.

2505273000 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 2505273000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4138205760).

2505273000 is an abundant number, since it is smaller than the sum of its proper divisors (5771138520).

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

2505273000 is a wasteful number, since it uses less digits than its factorization.

2505273000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49164 (or 49150 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 2505273000 is about 50052.7022247551. The cubic root of 2505273000 is about 1358.1623464833.

Adding to 2505273000 its reverse (3725052), we get a palindrome (2508998052).

The spelling of 2505273000 in words is "two billion, five hundred five million, two hundred seventy-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 125 136 150 170 200 204 250 255 300 340 375 408 425 500 510 600 680 750 850 1000 1020 1275 1500 1700 2040 2125 2550 3000 3400 4250 5100 6375 8500 10200 12750 17000 25500 49123 51000 98246 147369 196492 245615 294738 392984 491230 589476 736845 835091 982460 1178952 1228075 1473690 1670182 1964920 2456150 2505273 2947380 3340364 3684225 4175455 4912300 5010546 5894760 6140375 6680728 7368450 8350910 9824600 10021092 12280750 12526365 14736900 16701820 18421125 20042184 20877275 24561500 25052730 29473800 33403640 36842250 41754550 49123000 50105460 62631825 73684500 83509100 100210920 104386375 125263650 147369000 167018200 208772750 250527300 313159125 417545500 501054600 626318250 835091000 1252636500 2505273000