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20459648 = 271121321
BaseRepresentation
bin100111000001…
…1000010000000
31102111110100202
41032003002000
520214202043
62010304332
7335622056
oct116030200
942443322
1020459648
1110604700
126a280a8
134314701
142a081d6
151be21b8
hex1383080

20459648 has 48 divisors (see below), whose sum is σ = 44835630. Its totient is φ = 9292800.

The previous prime is 20459629. The next prime is 20459651. The reversal of 20459648 is 84695402.

It can be written as a sum of positive squares in only one way, i.e., 13017664 + 7441984 = 3608^2 + 2728^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14828 + ... + 16148.

Almost surely, 220459648 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 20459648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22417815).

20459648 is an abundant number, since it is smaller than the sum of its proper divisors (24375982).

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

20459648 is a wasteful number, since it uses less digits than its factorization.

20459648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 20459648 is about 4523.2342411155. The cubic root of 20459648 is about 273.5054927057.

The spelling of 20459648 in words is "twenty million, four hundred fifty-nine thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 968 1321 1408 1936 2642 3872 5284 7744 10568 14531 15488 21136 29062 42272 58124 84544 116248 159841 169088 232496 319682 464992 639364 929984 1278728 1859968 2557456 5114912 10229824 20459648