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4525253200 = 245213870241
BaseRepresentation
bin1000011011011100…
…11110001001010000
3102200101001200101101
410031232132021100
533231431100300
62025011514144
7220066006006
oct41556361120
912611050341
104525253200
111a12429786
12a635b8954
135716a9020
1430d000a76
151b742ab6a
hex10db9e250

4525253200 has 60 divisors (see below), whose sum is σ = 11708235868. Its totient is φ = 1670860800.

The previous prime is 4525253129. The next prime is 4525253207. The reversal of 4525253200 is 23525254.

It can be written as a sum of positive squares in 6 ways, for example, as 1098789904 + 3426463296 = 33148^2 + 58536^2 .

It is a super-4 number, since 4×45252532004 (a number of 40 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4525253207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 429921 + ... + 440320.

Almost surely, 24525253200 is an apocalyptic number.

4525253200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4525253200 is an abundant number, since it is smaller than the sum of its proper divisors (7182982668).

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

4525253200 is a wasteful number, since it uses less digits than its factorization.

4525253200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870272 (or 870261 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 28.

The square root of 4525253200 is about 67270.0022298201. The cubic root of 4525253200 is about 1654.0461701705.

Adding to 4525253200 its reverse (23525254), we get a palindrome (4548778454).

The spelling of 4525253200 in words is "four billion, five hundred twenty-five million, two hundred fifty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 870241 1740482 3480964 4351205 6961928 8702410 11313133 13923856 17404820 21756025 22626266 34809640 43512050 45252532 56565665 69619280 87024100 90505064 113131330 174048200 181010128 226262660 282828325 348096400 452525320 565656650 905050640 1131313300 2262626600 4525253200