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68762500 = 22555501
BaseRepresentation
bin1000001100100…
…11101110000100
311210101111102021
410012103232010
5120100400000
610453452524
71463320522
oct406235604
9153344367
1068762500
11358a6314
121b041144
1311327491
1491bd312
15608411a
hex4193b84

68762500 has 36 divisors (see below), whose sum is σ = 150435684. Its totient is φ = 27500000.

The previous prime is 68762459. The next prime is 68762503. The reversal of 68762500 is 526786.

It can be written as a sum of positive squares in 6 ways, for example, as 36409156 + 32353344 = 6034^2 + 5688^2 .

It is not an unprimeable number, because it can be changed into a prime (68762503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9750 + ... + 15250.

It is an arithmetic number, because the mean of its divisors is an integer number (4178769).

Almost surely, 268762500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68762500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75217842).

68762500 is an abundant number, since it is smaller than the sum of its proper divisors (81673184).

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

68762500 is an equidigital number, since it uses as much as digits as its factorization.

68762500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5530 (or 5508 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 68762500 is about 8292.3157199904. The cubic root of 68762500 is about 409.6854617130.

The spelling of 68762500 in words is "sixty-eight million, seven hundred sixty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2500 3125 5501 6250 11002 12500 22004 27505 55010 110020 137525 275050 550100 687625 1375250 2750500 3438125 6876250 13752500 17190625 34381250 68762500