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5782424440 = 2351326474201
BaseRepresentation
bin1010110001010100…
…01100101101111000
3112220222122121010011
411120222030231320
543320300040230
62353441231304
7263202540202
oct53052145570
915828577104
105782424440
1124a8034081
121154632534
13711c99a30
143cbd73772
1523c9aae2a
hex158a8cb78

5782424440 has 64 divisors (see below), whose sum is σ = 14019888960. Its totient is φ = 2133734400.

The previous prime is 5782424407. The next prime is 5782424443. The reversal of 5782424440 is 444242875.

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 = 5782424393 and 5782424402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5782424443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1374340 + ... + 1378540.

It is an arithmetic number, because the mean of its divisors is an integer number (219060765).

Almost surely, 25782424440 is an apocalyptic number.

It is an amenable number.

5782424440 is an abundant number, since it is smaller than the sum of its proper divisors (8237464520).

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

5782424440 is a wasteful number, since it uses less digits than its factorization.

5782424440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6872 (or 6868 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 40.

The square root of 5782424440 is about 76042.2543064052. The cubic root of 5782424440 is about 1794.8851130293.

The spelling of 5782424440 in words is "five billion, seven hundred eighty-two million, four hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 2647 4201 5294 8402 10588 13235 16804 21005 21176 26470 33608 34411 42010 52940 54613 68822 84020 105880 109226 137644 168040 172055 218452 273065 275288 344110 436904 546130 688220 1092260 1376440 2184520 11120047 22240094 44480188 55600235 88960376 111200470 144560611 222400940 289121222 444801880 578242444 722803055 1156484888 1445606110 2891212220 5782424440