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1982259648 = 26331147141
BaseRepresentation
bin111011000100110…
…1110000111000000
312010010222020001000
41312021232013000
513024424302043
6524410412000
7100056633435
oct16611560700
95103866030
101982259648
11927a30016
12473a31000
132578a5605
1414b39bb8c
15b905b2d3
hex7626e1c0

1982259648 has 56 divisors (see below), whose sum is σ = 5827481360. Its totient is φ = 660752640.

The previous prime is 1982259611. The next prime is 1982259661. The reversal of 1982259648 is 8469522891.

It is a happy number.

1982259648 is a `hidden beast` number, since 1 + 9 + 8 + 2 + 2 + 596 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1982259594 and 1982259603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 571843 + ... + 575298.

Almost surely, 21982259648 is an apocalyptic number.

1982259648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1982259648 is an abundant number, since it is smaller than the sum of its proper divisors (3845221712).

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

1982259648 is a wasteful number, since it uses less digits than its factorization.

1982259648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147162 (or 1147146 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The square root of 1982259648 is about 44522.5745886286. The cubic root of 1982259648 is about 1256.1847402945.

The spelling of 1982259648 in words is "one billion, nine hundred eighty-two million, two hundred fifty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 1147141 2294282 3441423 4588564 6882846 9177128 10324269 13765692 18354256 20648538 27531384 30972807 36708512 41297076 55062768 61945614 73417024 82594152 110125536 123891228 165188304 220251072 247782456 330376608 495564912 660753216 991129824 1982259648