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2441245400 = 2352111958403
BaseRepresentation
bin1001000110000010…
…0111001011011000
320022010122010010022
42101200213023120
514444424323100
61042124210012
7114332146346
oct22140471330
96263563108
102441245400
111043023890
12581699908
132cb9ca309
14192318996
15e44c1e85
hex918272d8

2441245400 has 96 divisors (see below), whose sum is σ = 6517886400. Its totient is φ = 840988800.

The previous prime is 2441245399. The next prime is 2441245403. The reversal of 2441245400 is 45421442.

It is a self number, because there is not a number n which added to its sum of digits gives 2441245400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2441245403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12599 + ... + 71001.

It is an arithmetic number, because the mean of its divisors is an integer number (67894650).

Almost surely, 22441245400 is an apocalyptic number.

2441245400 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 2441245400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3258943200).

2441245400 is an abundant number, since it is smaller than the sum of its proper divisors (4076641000).

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

2441245400 is a wasteful number, since it uses less digits than its factorization.

2441245400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58449 (or 58440 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

The square root of 2441245400 is about 49408.9607257631. The cubic root of 2441245400 is about 1346.4921091372.

Adding to 2441245400 its reverse (45421442), we get a palindrome (2486666842).

The spelling of 2441245400 in words is "two billion, four hundred forty-one million, two hundred forty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 19 20 22 25 38 40 44 50 55 76 88 95 100 110 152 190 200 209 220 275 380 418 440 475 550 760 836 950 1045 1100 1672 1900 2090 2200 3800 4180 5225 8360 10450 20900 41800 58403 116806 233612 292015 467224 584030 642433 1109657 1168060 1284866 1460075 2219314 2336120 2569732 2920150 3212165 4438628 5139464 5548285 5840300 6424330 8877256 11096570 11680600 12206227 12848660 16060825 22193140 24412454 25697320 27741425 32121650 44386280 48824908 55482850 61031135 64243300 97649816 110965700 122062270 128486600 221931400 244124540 305155675 488249080 610311350 1220622700 2441245400