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2092742500 = 225417411201
BaseRepresentation
bin111110010111100…
…1011011101100100
312101211212100000111
41330233023131210
513241220230000
6543354422404
7102601006042
oct17457133544
95354770014
102092742500
11984331462
124a4a31a04
13274749694
1415bd1b392
15c3ad1cba
hex7cbcb764

2092742500 has 120 divisors (see below), whose sum is σ = 4967928504. Its totient is φ = 768000000.

The previous prime is 2092742489. The next prime is 2092742503. The reversal of 2092742500 is 52472902.

It can be written as a sum of positive squares in 20 ways, for example, as 1778814976 + 313927524 = 42176^2 + 17718^2 .

It is not an unprimeable number, because it can be changed into a prime (2092742503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1741900 + ... + 1743100.

Almost surely, 22092742500 is an apocalyptic number.

2092742500 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 2092742500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2483964252).

2092742500 is an abundant number, since it is smaller than the sum of its proper divisors (2875186004).

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

2092742500 is a wasteful number, since it uses less digits than its factorization.

2092742500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 2092742500 is about 45746.5025985594. The cubic root of 2092742500 is about 1279.1022554308.

The spelling of 2092742500 in words is "two billion, ninety-two million, seven hundred forty-two thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 41 50 68 82 85 100 125 164 170 205 250 340 410 425 500 625 697 820 850 1025 1201 1250 1394 1700 2050 2125 2402 2500 2788 3485 4100 4250 4804 5125 6005 6970 8500 10250 10625 12010 13940 17425 20417 20500 21250 24020 25625 30025 34850 40834 42500 49241 51250 60050 69700 81668 87125 98482 102085 102500 120100 150125 174250 196964 204170 246205 300250 348500 408340 435625 492410 510425 600500 750625 837097 871250 984820 1020850 1231025 1501250 1674194 1742500 2041700 2462050 2552125 3002500 3348388 4185485 4924100 5104250 6155125 8370970 10208500 12310250 12760625 16741940 20927425 24620500 25521250 30775625 41854850 51042500 61551250 83709700 104637125 123102500 209274250 418548500 523185625 1046371250 2092742500