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1984740825 = 352593131433
BaseRepresentation
bin111011001001100…
…1011110111011001
312010022122021120110
41312103023313121
513031043201300
6524535514533
7100120006254
oct16623136731
95108567513
101984740825
11929375181
12474828a49
13258263a72
1414b84609b
15b939b550
hex764cbdd9

1984740825 has 48 divisors (see below), whose sum is σ = 3350053440. Its totient is φ = 1036538880.

The previous prime is 1984740787. The next prime is 1984740859. The reversal of 1984740825 is 5280474891.

It is a happy number.

It is not a de Polignac number, because 1984740825 - 26 = 1984740761 is a prime.

It is a super-2 number, since 2×19847408252 = 7878392284843361250, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1384309 + ... + 1385741.

It is an arithmetic number, because the mean of its divisors is an integer number (69792780).

Almost surely, 21984740825 is an apocalyptic number.

1984740825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1984740825 is a deficient number, since it is larger than the sum of its proper divisors (1365312615).

1984740825 is a wasteful number, since it uses less digits than its factorization.

1984740825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818 (or 1813 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The square root of 1984740825 is about 44550.4301326037. The cubic root of 1984740825 is about 1256.7086402389.

The spelling of 1984740825 in words is "one billion, nine hundred eighty-four million, seven hundred forty thousand, eight hundred twenty-five".

Divisors: 1 3 5 15 25 59 75 177 295 313 885 939 1433 1475 1565 4299 4425 4695 7165 7825 18467 21495 23475 35825 55401 84547 92335 107475 253641 277005 422735 448529 461675 1268205 1345587 1385025 2113675 2242645 6341025 6727935 11213225 26463211 33639675 79389633 132316055 396948165 661580275 1984740825