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2543738440 = 23599164171
BaseRepresentation
bin1001011110011110…
…0101111001001000
320120021111022010211
42113213211321020
520202144112230
61100225050504
7120015264025
oct22747457110
96507438124
102543738440
111095968381
125aba86a34
13317004799
141a1b9854c
15ed4ba42a
hex979e5e48

2543738440 has 32 divisors (see below), whose sum is σ = 5729276160. Its totient is φ = 1016452800.

The previous prime is 2543738437. The next prime is 2543738443. The reversal of 2543738440 is 448373452.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2543738437) and next prime (2543738443).

It is a super-2 number, since 2×25437384402 = 12941210502267267200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2543738393 and 2543738402.

It is not an unprimeable number, because it can be changed into a prime (2543738443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7555 + ... + 71725.

It is an arithmetic number, because the mean of its divisors is an integer number (179039880).

Almost surely, 22543738440 is an apocalyptic number.

2543738440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2543738440 is an abundant number, since it is smaller than the sum of its proper divisors (3185537720).

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

2543738440 is a wasteful number, since it uses less digits than its factorization.

2543738440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65173 (or 65169 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 40.

The square root of 2543738440 is about 50435.4879028646. The cubic root of 2543738440 is about 1365.0780528478.

The spelling of 2543738440 in words is "two billion, five hundred forty-three million, seven hundred thirty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 991 1982 3964 4955 7928 9910 19820 39640 64171 128342 256684 320855 513368 641710 1283420 2566840 63593461 127186922 254373844 317967305 508747688 635934610 1271869220 2543738440