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1000643325 = 352114367421
BaseRepresentation
bin111011101001001…
…001101011111101
32120201212221120220
4323221021223331
54022131041300
6243143131553
733540220323
oct7351115375
92521787526
101000643325
11473923160
1223b143bb9
1312c403c56
1496c77d13
155ccabda0
hex3ba49afd

1000643325 has 96 divisors (see below), whose sum is σ = 1878784512. Its totient is φ = 465696000.

The previous prime is 1000643321. The next prime is 1000643383. The reversal of 1000643325 is 5233460001.

It is a happy number.

It is not a de Polignac number, because 1000643325 - 22 = 1000643321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000643295 and 1000643304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000643321) 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 95 ways as a sum of consecutive naturals, for example, 2376615 + ... + 2377035.

It is an arithmetic number, because the mean of its divisors is an integer number (19570672).

Almost surely, 21000643325 is an apocalyptic number.

1000643325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1000643325 is a deficient number, since it is larger than the sum of its proper divisors (878141187).

1000643325 is a wasteful number, since it uses less digits than its factorization.

1000643325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 1000643325 is about 31632.9468276353. The cubic root of 1000643325 is about 1000.2143956979.

The spelling of 1000643325 in words is "one billion, six hundred forty-three thousand, three hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 43 55 67 75 129 165 201 215 275 335 421 473 645 737 825 1005 1075 1263 1419 1675 2105 2211 2365 2881 3225 3685 4631 5025 6315 7095 8643 10525 11055 11825 13893 14405 18103 18425 23155 28207 31575 31691 35475 43215 54309 55275 69465 72025 84621 90515 95073 115775 141035 158455 199133 216075 271545 310277 347325 423105 452575 475365 597399 705175 792275 930831 995665 1212901 1357725 1551385 2115525 2376825 2986995 3638703 4654155 4978325 6064505 7756925 13341911 14934975 18193515 23270775 30322525 40025733 66709555 90967575 200128665 333547775 1000643325