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2543031400 = 2352721319961
BaseRepresentation
bin1001011110010011…
…1001010001101000
320120020011101021011
42113210321101220
520202004001100
61100201553304
7120006260500
oct22744712150
96506141234
102543031400
111095525148
125ab7a5834
13316b17a10
141a1a52a00
15ed3cabba
hex97939468

2543031400 has 144 divisors (see below), whose sum is σ = 7407299340. Its totient is φ = 804787200.

The previous prime is 2543031391. The next prime is 2543031419. The reversal of 2543031400 is 41303452.

It can be written as a sum of positive squares in 6 ways, for example, as 1070467524 + 1472563876 = 32718^2 + 38374^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 117420 + ... + 137380.

Almost surely, 22543031400 is an apocalyptic number.

2543031400 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 2543031400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3703649670).

2543031400 is an abundant number, since it is smaller than the sum of its proper divisors (4864267940).

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

2543031400 is a wasteful number, since it uses less digits than its factorization.

2543031400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20004 (or 19988 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 2543031400 is about 50428.4780654741. The cubic root of 2543031400 is about 1364.9515652330.

Adding to 2543031400 its reverse (41303452), we get a palindrome (2584334852).

The spelling of 2543031400 in words is "two billion, five hundred forty-three million, thirty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 49 50 52 56 65 70 91 98 100 104 130 140 175 182 196 200 245 260 280 325 350 364 392 455 490 520 637 650 700 728 910 980 1225 1274 1300 1400 1820 1960 2275 2450 2548 2600 3185 3640 4550 4900 5096 6370 9100 9800 12740 15925 18200 19961 25480 31850 39922 63700 79844 99805 127400 139727 159688 199610 259493 279454 399220 499025 518986 558908 698635 798440 978089 998050 1037972 1117816 1297465 1397270 1816451 1956178 1996100 2075944 2594930 2794540 3493175 3632902 3912356 3992200 4890445 5189860 5589080 6487325 6986350 7265804 7824712 9082255 9780890 10379720 12715157 12974650 13972700 14531608 18164510 19561780 24452225 25430314 25949300 27945400 36329020 39123560 45411275 48904450 50860628 51898600 63575785 72658040 90822550 97808900 101721256 127151570 181645100 195617800 254303140 317878925 363290200 508606280 635757850 1271515700 2543031400