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20144448 = 263241853
BaseRepresentation
bin100110011011…
…0000101000000
31101220102222200
41030312011000
520124110243
61555433200
7333140112
oct114660500
941812880
1020144448
1110409905
1268b5800
1342340bc
1429653b2
151b7dad3
hex1336140

20144448 has 84 divisors (see below), whose sum is σ = 59218068. Its totient is φ = 6543360.

The previous prime is 20144437. The next prime is 20144461. The reversal of 20144448 is 84444102.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1065024 + 19079424 = 1032^2 + 4368^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23190 + ... + 24042.

It is an arithmetic number, because the mean of its divisors is an integer number (704977).

Almost surely, 220144448 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 20144448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29609034).

20144448 is an abundant number, since it is smaller than the sum of its proper divisors (39073620).

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

20144448 is a wasteful number, since it uses less digits than its factorization.

20144448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 20144448 is about 4488.2566771521. The cubic root of 20144448 is about 272.0936816868.

The spelling of 20144448 in words is "twenty million, one hundred forty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 144 164 192 246 288 328 369 492 576 656 738 853 984 1312 1476 1706 1968 2559 2624 2952 3412 3936 5118 5904 6824 7677 7872 10236 11808 13648 15354 20472 23616 27296 30708 34973 40944 54592 61416 69946 81888 104919 122832 139892 163776 209838 245664 279784 314757 419676 491328 559568 629514 839352 1119136 1259028 1678704 2238272 2518056 3357408 5036112 6714816 10072224 20144448