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2489012100 = 22325216632
BaseRepresentation
bin1001010001011011…
…0100111110000100
320102110111220201100
42110112310332010
520044141341400
61050552100100
7115452153021
oct22426647604
96373456640
102489012100
111067a896a3
12595694630
13308883033
141987d0548
15e87aa100
hex945b4f84

2489012100 has 81 divisors (see below), whose sum is σ = 7806364293. Its totient is φ = 663337440.

The previous prime is 2489012081. The next prime is 2489012101. The reversal of 2489012100 is 12109842.

The square root of 2489012100 is 49890.

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

It can be written as a sum of positive squares in only one way, i.e., 896044356 + 1592967744 = 29934^2 + 39912^2 .

It is not an unprimeable number, because it can be changed into a prime (2489012101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1495869 + ... + 1497531.

Almost surely, 22489012100 is an apocalyptic number.

2489012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2489012100 is the 49890-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2489012100

2489012100 is an abundant number, since it is smaller than the sum of its proper divisors (5317352193).

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

2489012100 is a wasteful number, since it uses less digits than its factorization.

2489012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3346 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The cubic root of 2489012100 is about 1355.2175047873.

It can be divided in two parts, 248901 and 2100, that added together give a square (251001 = 5012).

The spelling of 2489012100 in words is "two billion, four hundred eighty-nine million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 1663 3326 4989 6652 8315 9978 14967 16630 19956 24945 29934 33260 41575 49890 59868 74835 83150 99780 124725 149670 166300 249450 299340 374175 498900 748350 1496700 2765569 5531138 8296707 11062276 13827845 16593414 24890121 27655690 33186828 41483535 49780242 55311380 69139225 82967070 99560484 124450605 138278450 165934140 207417675 248901210 276556900 414835350 497802420 622253025 829670700 1244506050 2489012100