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20448484 = 2272172192
BaseRepresentation
bin100111000000…
…0010011100100
31102110220001021
41032000103210
520213322414
62010140524
7335544400
oct116002344
942426037
1020448484
11105a7281
126a21744
13430c5c4
142a04100
151bddc24
hex13804e4

20448484 has 81 divisors (see below), whose sum is σ = 46669833. Its totient is φ = 7814016.

The previous prime is 20448469. The next prime is 20448511. The reversal of 20448484 is 48484402.

The square root of 20448484 is 4522.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 15920100 + 4528384 = 3990^2 + 2128^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

20448484 is a modest number, since divided by 8484 gives 2044 as remainder.

It is a zygodrome in base 7.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1076227 + ... + 1076245.

Almost surely, 220448484 is an apocalyptic number.

20448484 is the 4522-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20448484

20448484 is an abundant number, since it is smaller than the sum of its proper divisors (26221349).

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

20448484 is a wasteful number, since it uses less digits than its factorization.

20448484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 34.

The cubic root of 20448484 is about 273.4557367037.

The spelling of 20448484 in words is "twenty million, four hundred forty-eight thousand, four hundred eighty-four".

Divisors: 1 2 4 7 14 17 19 28 34 38 49 68 76 98 119 133 196 238 266 289 323 361 476 532 578 646 722 833 931 1156 1292 1444 1666 1862 2023 2261 2527 3332 3724 4046 4522 5054 5491 6137 8092 9044 10108 10982 12274 14161 15827 17689 21964 24548 28322 31654 35378 38437 42959 56644 63308 70756 76874 85918 104329 153748 171836 208658 269059 300713 417316 538118 601426 730303 1076236 1202852 1460606 2921212 5112121 10224242 20448484