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20488832 = 277131759
BaseRepresentation
bin100111000101…
…0001010000000
31102112221101122
41032022022000
520221120312
62011051412
7336103130
oct116121200
942487348
1020488832
1110624621
126a40b68
134324a90
142a14ac0
151beab72
hex138a280

20488832 has 64 divisors (see below), whose sum is σ = 50265600. Its totient is φ = 8100864.

The previous prime is 20488823. The next prime is 20488843. The reversal of 20488832 is 23888402.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 20488792 and 20488801.

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, 10769 + ... + 12527.

It is an arithmetic number, because the mean of its divisors is an integer number (785400).

Almost surely, 220488832 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 20488832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25132800).

20488832 is an abundant number, since it is smaller than the sum of its proper divisors (29776768).

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

20488832 is a wasteful number, since it uses less digits than its factorization.

20488832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793 (or 1781 counting only the distinct ones).

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

The square root of 20488832 is about 4526.4591017704. The cubic root of 20488832 is about 273.6354752628.

The spelling of 20488832 in words is "twenty million, four hundred eighty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 364 416 448 728 832 896 1456 1664 1759 2912 3518 5824 7036 11648 12313 14072 22867 24626 28144 45734 49252 56288 91468 98504 112576 160069 182936 197008 225152 320138 365872 394016 640276 731744 788032 1280552 1463488 1576064 2561104 2926976 5122208 10244416 20488832