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8031250000 = 2459257
BaseRepresentation
bin1110111101011001…
…10010011001010000
3202201201012202211201
413132230302121100
5112422000000000
63404533320544
7403010333014
oct73654623120
922651182751
108031250000
113451481aa4
121681796154
139acb65047
145628c0544
1532011e96a
hex1deb32650

8031250000 has 100 divisors (see below), whose sum is σ = 19526365188. Its totient is φ = 3200000000.

The previous prime is 8031249983. The next prime is 8031250021. The reversal of 8031250000 is 521308.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 1693816336 + 6337433664 = 41156^2 + 79608^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a self number, because there is not a number n which added to its sum of digits gives 8031250000.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 31249872 + ... + 31250128.

Almost surely, 28031250000 is an apocalyptic number.

8031250000 is a gapful number since it is divisible by the number (80) 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 8031250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9763182594).

8031250000 is an abundant number, since it is smaller than the sum of its proper divisors (11495115188).

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

8031250000 is an frugal number, since it uses more digits than its factorization.

8031250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 8031250000 is about 89617.2416446746. The cubic root of 8031250000 is about 2002.6007831641.

Adding to 8031250000 its reverse (521308), we get a palindrome (8031771308).

It can be divided in two parts, 80 and 31250000, that multiplied together give a square (2500000000 = 500002).

The spelling of 8031250000 in words is "eight billion, thirty-one million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 257 400 500 514 625 1000 1028 1250 1285 2000 2056 2500 2570 3125 4112 5000 5140 6250 6425 10000 10280 12500 12850 15625 20560 25000 25700 31250 32125 50000 51400 62500 64250 78125 102800 125000 128500 156250 160625 250000 257000 312500 321250 390625 514000 625000 642500 781250 803125 1250000 1285000 1562500 1606250 1953125 2570000 3125000 3212500 3906250 4015625 6250000 6425000 7812500 8031250 12850000 15625000 16062500 20078125 31250000 32125000 40156250 64250000 80312500 100390625 160625000 200781250 321250000 401562500 501953125 803125000 1003906250 1606250000 2007812500 4015625000 8031250000