Search a number
-
+
2426831200 = 255223131893
BaseRepresentation
bin1001000010100110…
…1000000101100000
320021010111210120001
42100221220011200
514432232044300
61040451225344
7114065503423
oct22051500540
96233453501
102426831200
111035979222
125788a8254
132c8a214c1
141904459ba
15e30c616a
hex90a68160

2426831200 has 72 divisors (see below), whose sum is σ = 6182135568. Its totient is φ = 928519680.

The previous prime is 2426831171. The next prime is 2426831201. The reversal of 2426831200 is 21386242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2426831201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47547 + ... + 84346.

It is an arithmetic number, because the mean of its divisors is an integer number (85862994).

Almost surely, 22426831200 is an apocalyptic number.

2426831200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2426831200 is an abundant number, since it is smaller than the sum of its proper divisors (3755304368).

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

2426831200 is a wasteful number, since it uses less digits than its factorization.

2426831200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131936 (or 131923 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 2426831200 is about 49262.8785192258. The cubic root of 2426831200 is about 1343.8367798292.

The spelling of 2426831200 in words is "two billion, four hundred twenty-six million, eight hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 160 184 200 230 368 400 460 575 736 800 920 1150 1840 2300 3680 4600 9200 18400 131893 263786 527572 659465 1055144 1318930 2110288 2637860 3033539 3297325 4220576 5275720 6067078 6594650 10551440 12134156 13189300 15167695 21102880 24268312 26378600 30335390 48536624 52757200 60670780 75838475 97073248 105514400 121341560 151676950 242683120 303353900 485366240 606707800 1213415600 2426831200