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4250324000 = 25531381737
BaseRepresentation
bin1111110101010110…
…1100110000100000
3101222012201211102102
43331111230300200
532201040332000
61541431105532
7210220105106
oct37525546040
911865654372
104250324000
11189121936a
129a75122a8
13529748720
142c46b5c76
1519d2203d5
hexfd56cc20

4250324000 has 96 divisors (see below), whose sum is σ = 11246494896. Its totient is φ = 1569331200.

The previous prime is 4250323967. The next prime is 4250324021. The reversal of 4250324000 is 4230524.

4250324000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 123032464 + 4127291536 = 11092^2 + 64244^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11132 + ... + 92868.

Almost surely, 24250324000 is an apocalyptic number.

4250324000 is a gapful number since it is divisible by the number (40) 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 4250324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5623247448).

4250324000 is an abundant number, since it is smaller than the sum of its proper divisors (6996170896).

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

4250324000 is a wasteful number, since it uses less digits than its factorization.

4250324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81775 (or 81757 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 4250324000 is about 65194.5089712316. The cubic root of 4250324000 is about 1619.8470617192.

Adding to 4250324000 its reverse (4230524), we get a palindrome (4254554524).

The spelling of 4250324000 in words is "four billion, two hundred fifty million, three hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 650 800 1000 1040 1300 1625 2000 2080 2600 3250 4000 5200 6500 10400 13000 26000 52000 81737 163474 326948 408685 653896 817370 1062581 1307792 1634740 2043425 2125162 2615584 3269480 4086850 4250324 5312905 6538960 8173700 8500648 10217125 10625810 13077920 16347400 17001296 20434250 21251620 26564525 32694800 34002592 40868500 42503240 53129050 65389600 81737000 85006480 106258100 132822625 163474000 170012960 212516200 265645250 326948000 425032400 531290500 850064800 1062581000 2125162000 4250324000