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2488450000 = 2455157317
BaseRepresentation
bin1001010001010010…
…1011101111010000
320102102110100122211
42110110223233100
520044020400000
61050532041504
7115444322161
oct22424535720
96372410584
102488450000
111067735353
12595463294
1330871722a
141986c5768
15e86e87ba
hex9452bbd0

2488450000 has 120 divisors (see below), whose sum is σ = 6083844984. Its totient is φ = 985920000.

The previous prime is 2488449973. The next prime is 2488450001. The reversal of 2488450000 is 548842.

It can be written as a sum of positive squares in 12 ways, for example, as 2208624016 + 279825984 = 46996^2 + 16728^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2488450001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7849842 + ... + 7850158.

Almost surely, 22488450000 is an apocalyptic number.

2488450000 is a gapful number since it is divisible by the number (20) 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 2488450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3041922492).

2488450000 is an abundant number, since it is smaller than the sum of its proper divisors (3595394984).

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

2488450000 is an equidigital number, since it uses as much as digits as its factorization.

2488450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The square root of 2488450000 is about 49884.3662884475. The cubic root of 2488450000 is about 1355.1154796893.

Adding to 2488450000 its reverse (548842), we get a palindrome (2488998842).

The spelling of 2488450000 in words is "two billion, four hundred eighty-eight million, four hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 157 200 250 314 317 400 500 625 628 634 785 1000 1250 1256 1268 1570 1585 2000 2500 2512 2536 3125 3140 3170 3925 5000 5072 6250 6280 6340 7850 7925 10000 12500 12560 12680 15700 15850 19625 25000 25360 31400 31700 39250 39625 49769 50000 62800 63400 78500 79250 98125 99538 126800 157000 158500 196250 198125 199076 248845 314000 317000 392500 396250 398152 490625 497690 634000 785000 792500 796304 981250 990625 995380 1244225 1570000 1585000 1962500 1981250 1990760 2488450 3170000 3925000 3962500 3981520 4976900 6221125 7850000 7925000 9953800 12442250 15850000 19907600 24884500 31105625 49769000 62211250 99538000 124422500 155528125 248845000 311056250 497690000 622112500 1244225000 2488450000