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2543438440 = 235238931063
BaseRepresentation
bin1001011110011001…
…1100101001101000
320120020221001121201
42113212130221220
520202110012230
61100214413544
7120012604264
oct22746345150
96506831551
102543438440
111095782a44
125ab9612b4
13316c2b07a
141a1b1b0a4
15ed45b5ca
hex9799ca68

2543438440 has 64 divisors (see below), whose sum is σ = 6038841600. Its totient is φ = 962176512.

The previous prime is 2543438437. The next prime is 2543438453. The reversal of 2543438440 is 448343452.

2543438440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2543438440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66349 + ... + 97411.

It is an arithmetic number, because the mean of its divisors is an integer number (94356900).

Almost surely, 22543438440 is an apocalyptic number.

2543438440 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 2543438440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3019420800).

2543438440 is an abundant number, since it is smaller than the sum of its proper divisors (3495403160).

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

2543438440 is a wasteful number, since it uses less digits than its factorization.

2543438440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31186 (or 31182 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 37.

The square root of 2543438440 is about 50432.5137188302. The cubic root of 2543438440 is about 1365.0243864920.

The spelling of 2543438440 in words is "two billion, five hundred forty-three million, four hundred thirty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 89 92 115 178 184 230 356 445 460 712 890 920 1780 2047 3560 4094 8188 10235 16376 20470 31063 40940 62126 81880 124252 155315 248504 310630 621260 714449 1242520 1428898 2764607 2857796 3572245 5529214 5715592 7144490 11058428 13823035 14288980 22116856 27646070 28577960 55292140 63585961 110584280 127171922 254343844 317929805 508687688 635859610 1271719220 2543438440