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775300000 = 25557753
BaseRepresentation
bin101110001101100…
…010001110100000
32000000212022122211
4232031202032200
53041434100000
6204533211504
725132640566
oct5615421640
92000768584
10775300000
11368700402
12197790b94
13c48153c7
1474d79a36
15480e87ba
hex2e3623a0

775300000 has 72 divisors (see below), whose sum is σ = 1908088812. Its totient is φ = 310080000.

The previous prime is 775299989. The next prime is 775300003. The reversal of 775300000 is 3577.

775300000 is digitally balanced in base 6, 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 6 ways, for example, as 11664 + 775288336 = 108^2 + 27844^2 .

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (775300003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96124 + ... + 103876.

Almost surely, 2775300000 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 775300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954044406).

775300000 is an abundant number, since it is smaller than the sum of its proper divisors (1132788812).

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

775300000 is an frugal number, since it uses more digits than its factorization.

775300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7788 (or 7760 counting only the distinct ones).

The product of its (nonzero) digits is 735, while the sum is 22.

The square root of 775300000 is about 27844.2094518771. The cubic root of 775300000 is about 918.6637816882.

Adding to 775300000 its reverse (3577), we get a palindrome (775303577).

The spelling of 775300000 in words is "seven hundred seventy-five million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 7753 10000 12500 15506 20000 25000 31012 38765 50000 62024 77530 100000 124048 155060 193825 248096 310120 387650 620240 775300 969125 1240480 1550600 1938250 3101200 3876500 4845625 6202400 7753000 9691250 15506000 19382500 24228125 31012000 38765000 48456250 77530000 96912500 155060000 193825000 387650000 775300000