Search a number
-
+
2088490000 = 24544572
BaseRepresentation
bin111110001111011…
…1101010000010000
312101112212021200111
41330132331100100
513234123140000
6543123331104
7102516605062
oct17436752020
95345767614
102088490000
119819974a3
124a3520a94
132738babcc
1415b531732
15c3541cba
hex7c7bd410

2088490000 has 75 divisors (see below), whose sum is σ = 5067531777. Its totient is φ = 833568000.

The previous prime is 2088489983. The next prime is 2088490003. The reversal of 2088490000 is 948802.

The square root of 2088490000 is 45700.

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

It can be written as a sum of positive squares in 7 ways, for example, as 785568784 + 1302921216 = 28028^2 + 36096^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2088490003) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4569772 + ... + 4570228.

Almost surely, 22088490000 is an apocalyptic number.

2088490000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2088490000 is the 45700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2088490000

2088490000 is an abundant number, since it is smaller than the sum of its proper divisors (2979041777).

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

2088490000 is an frugal number, since it uses more digits than its factorization.

2088490000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The cubic root of 2088490000 is about 1278.2352797084.

The spelling of 2088490000 in words is "two billion, eighty-eight million, four hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 457 500 625 914 1000 1250 1828 2000 2285 2500 3656 4570 5000 7312 9140 10000 11425 18280 22850 36560 45700 57125 91400 114250 182800 208849 228500 285625 417698 457000 571250 835396 914000 1044245 1142500 1670792 2088490 2285000 3341584 4176980 4570000 5221225 8353960 10442450 16707920 20884900 26106125 41769800 52212250 83539600 104424500 130530625 208849000 261061250 417698000 522122500 1044245000 2088490000