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20438288 = 2413971013
BaseRepresentation
bin100110111110…
…1110100010000
31102110101001122
41031331310100
520213011123
62010021412
7335502563
oct115756420
942411048
1020438288
111059a652
126a17868
134307a80
142a004da
151bdabc8
hex137dd10

20438288 has 40 divisors (see below), whose sum is σ = 43127448. Its totient is φ = 9326592.

The previous prime is 20438251. The next prime is 20438291. The reversal of 20438288 is 88283402.

It can be written as a sum of positive squares in 4 ways, for example, as 795664 + 19642624 = 892^2 + 4432^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19670 + ... + 20682.

Almost surely, 220438288 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 20438288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21563724).

20438288 is an abundant number, since it is smaller than the sum of its proper divisors (22689160).

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

20438288 is a wasteful number, since it uses less digits than its factorization.

20438288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 20438288 is about 4520.8724821654. The cubic root of 20438288 is about 273.4102790840.

The spelling of 20438288 in words is "twenty million, four hundred thirty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 52 97 104 194 208 388 776 1013 1261 1552 2026 2522 4052 5044 8104 10088 13169 16208 20176 26338 52676 98261 105352 196522 210704 393044 786088 1277393 1572176 2554786 5109572 10219144 20438288