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20338448 = 2413277353
BaseRepresentation
bin100110110010…
…1011100010000
31102021022002212
41031211130100
520201312243
62003531252
7334605524
oct115453420
942238085
1020338448
1110531639
126989b28
1342a14b0
1429b5d84
151bbb318
hex1365710

20338448 has 40 divisors (see below), whose sum is σ = 42710808. Its totient is φ = 9326592.

The previous prime is 20338433. The next prime is 20338469. The reversal of 20338448 is 84483302.

It can be written as a sum of positive squares in 4 ways, for example, as 16384 + 20322064 = 128^2 + 4508^2 .

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 7 ways as a sum of consecutive naturals, for example, 57440 + ... + 57792.

Almost surely, 220338448 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 20338448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21355404).

20338448 is an abundant number, since it is smaller than the sum of its proper divisors (22372360).

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

20338448 is a wasteful number, since it uses less digits than its factorization.

20338448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 20338448 is about 4509.8168477223. The cubic root of 20338448 is about 272.9643537387.

The spelling of 20338448 in words is "twenty million, three hundred thirty-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 208 277 353 554 706 1108 1412 2216 2824 3601 4432 4589 5648 7202 9178 14404 18356 28808 36712 57616 73424 97781 195562 391124 782248 1271153 1564496 2542306 5084612 10169224 20338448