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8742250000 = 2456112172
BaseRepresentation
bin10000010010001010…
…00010011000010000
3211120021002022111001
420021011002120100
5120401004000000
64003252431344
7426432620221
oct101105023020
924507068431
108742250000
113786854900
12183b918554
13a942561c3
145cd0bd248
1536276646a
hex209142610

8742250000 has 315 divisors, whose sum is σ = 24721578091. Its totient is φ = 2992000000.

The previous prime is 8742249941. The next prime is 8742250043. The reversal of 8742250000 is 522478.

The square root of 8742250000 is 93500.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 8594773264 + 147476736 = 92708^2 + 12144^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 514249992 + ... + 514250008.

Almost surely, 28742250000 is an apocalyptic number.

8742250000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8742250000 is the 93500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8742250000

8742250000 is an abundant number, since it is smaller than the sum of its proper divisors (15979328091).

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

8742250000 is an equidigital number, since it uses as much as digits as its factorization.

8742250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The cubic root of 8742250000 is about 2060.0340899879.

Adding to 8742250000 its reverse (522478), we get a palindrome (8742772478).

The spelling of 8742250000 in words is "eight billion, seven hundred forty-two million, two hundred fifty thousand".