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1982544864 = 25329712121
BaseRepresentation
bin111011000101011…
…0011101111100000
312010011111201021120
41312022303233200
513030012413424
6524420452240
7100062232116
oct16612635740
95104451246
101982544864
11928105333
12473b4a080
13257975391
1414b433ab6
15b90b5a79
hex762b3be0

1982544864 has 48 divisors (see below), whose sum is σ = 5383642320. Its totient is φ = 638059520.

The previous prime is 1982544853. The next prime is 1982544887. The reversal of 1982544864 is 4684452891.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×19825448643 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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, 353277 + ... + 358844.

It is an arithmetic number, because the mean of its divisors is an integer number (112159215).

Almost surely, 21982544864 is an apocalyptic number.

It is an amenable number.

1982544864 is an abundant number, since it is smaller than the sum of its proper divisors (3401097456).

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

1982544864 is a wasteful number, since it uses less digits than its factorization.

1982544864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712163 (or 712155 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 51.

The square root of 1982544864 is about 44525.7775226890. Note that the first 3 decimals coincide. The cubic root of 1982544864 is about 1256.2449858170.

The spelling of 1982544864 in words is "one billion, nine hundred eighty-two million, five hundred forty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 712121 1424242 2136363 2848484 4272726 5696968 8545452 11393936 17090904 20651509 22787872 34181808 41303018 61954527 68363616 82606036 123909054 165212072 247818108 330424144 495636216 660848288 991272432 1982544864