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7425268900 = 22527212312
BaseRepresentation
bin1101110101001010…
…01001110010100100
3201011110221202001021
412322211021302210
5110201332101100
63224445140524
7352001513200
oct67245116244
921143852037
107425268900
113170409475
12153285a744
13914453c4a
1450621bb00
152d6d1ea1a
hex1ba949ca4

7425268900 has 81 divisors (see below), whose sum is σ = 18758738817. Its totient is φ = 2543738400.

The previous prime is 7425268861. The next prime is 7425268909. The reversal of 7425268900 is 98625247.

The square root of 7425268900 is 86170.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2673096804 + 4752172096 = 51702^2 + 68936^2 .

It is not an unprimeable number, because it can be changed into a prime (7425268909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6031285 + ... + 6032515.

Almost surely, 27425268900 is an apocalyptic number.

7425268900 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

7425268900 is the 86170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7425268900

7425268900 is an abundant number, since it is smaller than the sum of its proper divisors (11333469917).

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

7425268900 is a wasteful number, since it uses less digits than its factorization.

7425268900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2490 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The cubic root of 7425268900 is about 1950.9107207699.

The spelling of 7425268900 in words is "seven billion, four hundred twenty-five million, two hundred sixty-eight thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 1231 2450 2462 4900 4924 6155 8617 12310 17234 24620 30775 34468 43085 60319 61550 86170 120638 123100 172340 215425 241276 301595 430850 603190 861700 1206380 1507975 1515361 3015950 3030722 6031900 6061444 7576805 10607527 15153610 21215054 30307220 37884025 42430108 53037635 74252689 75768050 106075270 148505378 151536100 212150540 265188175 297010756 371263445 530376350 742526890 1060752700 1485053780 1856317225 3712634450 7425268900