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20424288 = 253316863
BaseRepresentation
bin100110111101…
…0011001100000
31102102122212010
41031322121200
520212034123
62005432520
7335414013
oct115723140
942378763
1020424288
1110590085
126a0b740
1343015a1
1429d937a
151bd6993
hex137a660

20424288 has 48 divisors (see below), whose sum is σ = 55351296. Its totient is φ = 6587520.

The previous prime is 20424277. The next prime is 20424301. The reversal of 20424288 is 88242402.

It is a tau number, because it is divible by the number of its divisors (48).

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, 456 + ... + 6407.

It is an arithmetic number, because the mean of its divisors is an integer number (1153152).

Almost surely, 220424288 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 20424288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27675648).

20424288 is an abundant number, since it is smaller than the sum of its proper divisors (34927008).

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

20424288 is a wasteful number, since it uses less digits than its factorization.

20424288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6907 (or 6899 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 20424288 is about 4519.3238432314. The cubic root of 20424288 is about 273.3478371575.

The spelling of 20424288 in words is "twenty million, four hundred twenty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 6863 13726 20589 27452 41178 54904 82356 109808 164712 212753 219616 329424 425506 638259 658848 851012 1276518 1702024 2553036 3404048 5106072 6808096 10212144 20424288