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20288464 = 247792293
BaseRepresentation
bin100110101100…
…1001111010000
31102011202112121
41031121033100
520143212324
62002504024
7334310020
oct115311720
942152477
1020288464
11104a8029
126965014
134284811
1429a1a80
151bab5e4
hex13593d0

20288464 has 40 divisors (see below), whose sum is σ = 45512960. Its totient is φ = 8581248.

The previous prime is 20288459. The next prime is 20288473. The reversal of 20288464 is 46488202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7702 + ... + 9994.

It is an arithmetic number, because the mean of its divisors is an integer number (1137824).

Almost surely, 220288464 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 20288464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22756480).

20288464 is an abundant number, since it is smaller than the sum of its proper divisors (25224496).

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

20288464 is a wasteful number, since it uses less digits than its factorization.

20288464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2387 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 20288464 is about 4504.2717502389. The cubic root of 20288464 is about 272.7405568748.

The spelling of 20288464 in words is "twenty million, two hundred eighty-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 79 112 158 316 553 632 1106 1264 2212 2293 4424 4586 8848 9172 16051 18344 32102 36688 64204 128408 181147 256816 362294 724588 1268029 1449176 2536058 2898352 5072116 10144232 20288464