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4236125000 = 235633889
BaseRepresentation
bin1111110001111110…
…0010001101001000
3101221020000110001112
43330133202031020
532133422000000
61540202505452
7206655316442
oct37437421510
911836013045
104236125000
111884200458
129a2805288
13526816853
142c285b492
1519bd68235
hexfc7e2348

4236125000 has 56 divisors (see below), whose sum is σ = 9928583850. Its totient is φ = 1694400000.

The previous prime is 4236124987. The next prime is 4236125009. The reversal of 4236125000 is 5216324.

It can be written as a sum of positive squares in 7 ways, for example, as 1099452964 + 3136672036 = 33158^2 + 56006^2 .

It is not an unprimeable number, because it can be changed into a prime (4236125009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 108056 + ... + 141944.

Almost surely, 24236125000 is an apocalyptic number.

4236125000 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 4236125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4964291925).

4236125000 is an abundant number, since it is smaller than the sum of its proper divisors (5692458850).

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

4236125000 is an frugal number, since it uses more digits than its factorization.

4236125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33925 (or 33896 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 4236125000 is about 65085.5206632013. The cubic root of 4236125000 is about 1618.0412489363.

The spelling of 4236125000 in words is "four billion, two hundred thirty-six million, one hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 3125 5000 6250 12500 15625 25000 31250 33889 62500 67778 125000 135556 169445 271112 338890 677780 847225 1355560 1694450 3388900 4236125 6777800 8472250 16944500 21180625 33889000 42361250 84722500 105903125 169445000 211806250 423612500 529515625 847225000 1059031250 2118062500 4236125000