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20832448 = 26731373
BaseRepresentation
bin100111101111…
…0000011000000
31110012101202011
41033132003000
520313114243
62022302304
7342034000
oct117360300
943171664
1020832448
11108397aa
126b87994
1344152c0
142aa4000
151c6789d
hex13de0c0

20832448 has 112 divisors (see below), whose sum is σ = 52628800. Its totient is φ = 8128512.

The previous prime is 20832439. The next prime is 20832451. The reversal of 20832448 is 84423802.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285340 + ... + 285412.

It is an arithmetic number, because the mean of its divisors is an integer number (469900).

Almost surely, 220832448 is an apocalyptic number.

20832448 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20832448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26314400).

20832448 is an abundant number, since it is smaller than the sum of its proper divisors (31796352).

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

20832448 is an equidigital number, since it uses as much as digits as its factorization.

20832448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 20832448 is about 4564.2576614385. The cubic root of 20832448 is about 275.1567062777.

The spelling of 20832448 in words is "twenty million, eight hundred thirty-two thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 73 91 98 104 112 146 182 196 208 224 292 343 364 392 416 448 511 584 637 686 728 784 832 949 1022 1168 1274 1372 1456 1568 1898 2044 2336 2548 2744 2912 3136 3577 3796 4088 4459 4672 5096 5488 5824 6643 7154 7592 8176 8918 10192 10976 13286 14308 15184 16352 17836 20384 21952 25039 26572 28616 30368 32704 35672 40768 46501 50078 53144 57232 60736 71344 93002 100156 106288 114464 142688 186004 200312 212576 228928 285376 325507 372008 400624 425152 651014 744016 801248 1302028 1488032 1602496 2604056 2976064 5208112 10416224 20832448