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2928131200 = 2752915041
BaseRepresentation
bin1010111010000111…
…1011110010000000
321120001210110212201
42232201323302000
521444100144300
61202320002544
7132363463441
oct25641736200
97501713781
102928131200
111272943345
12698760454
13378840217
141dac592c8
151220e966a
hexae87bc80

2928131200 has 48 divisors (see below), whose sum is σ = 7233407010. Its totient is φ = 1171251200.

The previous prime is 2928131183. The next prime is 2928131203. The reversal of 2928131200 is 21318292.

It can be written as a sum of positive squares in 3 ways, for example, as 2255870016 + 672261184 = 47496^2 + 25928^2 .

It is not an unprimeable number, because it can be changed into a prime (2928131203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 454321 + ... + 460720.

Almost surely, 22928131200 is an apocalyptic number.

2928131200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2928131200 is an abundant number, since it is smaller than the sum of its proper divisors (4305275810).

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

2928131200 is an equidigital number, since it uses as much as digits as its factorization.

2928131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915065 (or 915048 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 2928131200 is about 54112.2093431787. The cubic root of 2928131200 is about 1430.6393867541.

Adding to 2928131200 its reverse (21318292), we get a palindrome (2949449492).

The spelling of 2928131200 in words is "two billion, nine hundred twenty-eight million, one hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 915041 1830082 3660164 4575205 7320328 9150410 14640656 18300820 22876025 29281312 36601640 45752050 58562624 73203280 91504100 117125248 146406560 183008200 292813120 366016400 585626240 732032800 1464065600 2928131200