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2443426432 = 27151167757
BaseRepresentation
bin1001000110100011…
…1011101010000000
320022021201220221021
42101220323222000
520001004121212
61042243035224
7114356532136
oct22150735200
96267656837
102443426432
111044283497
1258236bb14
132cc2b1c75
14192725756
15e47a3307
hex91a3ba80

2443426432 has 64 divisors (see below), whose sum is σ = 4935853440. Its totient is φ = 1204761600.

The previous prime is 2443426399. The next prime is 2443426451. The reversal of 2443426432 is 2346243442.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3227398 + ... + 3228154.

It is an arithmetic number, because the mean of its divisors is an integer number (77122710).

Almost surely, 22443426432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2443426432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467926720).

2443426432 is an abundant number, since it is smaller than the sum of its proper divisors (2492427008).

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

2443426432 is a wasteful number, since it uses less digits than its factorization.

2443426432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1077 counting only the distinct ones).

The product of its digits is 110592, while the sum is 34.

The square root of 2443426432 is about 49431.0270174513. The cubic root of 2443426432 is about 1346.8929794253.

Adding to 2443426432 its reverse (2346243442), we get a palindrome (4789669874).

The spelling of 2443426432 in words is "two billion, four hundred forty-three million, four hundred twenty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 151 167 302 334 604 668 757 1208 1336 1514 2416 2672 3028 4832 5344 6056 9664 10688 12112 19328 21376 24224 25217 48448 50434 96896 100868 114307 126419 201736 228614 252838 403472 457228 505676 806944 914456 1011352 1613888 1828912 2022704 3227776 3657824 4045408 7315648 8090816 14631296 16181632 19089269 38178538 76357076 152714152 305428304 610856608 1221713216 2443426432