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20852832 = 25372111331
BaseRepresentation
bin100111110001…
…1000001100000
31110020102201010
41033203001200
520314242312
62022540520
7342150300
oct117430140
943212633
1020852832
1110853050
126b97740
134421670
142aab600
151c6d93c
hex13e3060

20852832 has 288 divisors, whose sum is σ = 77220864. Its totient is φ = 4838400.

The previous prime is 20852831. The next prime is 20852849. The reversal of 20852832 is 23825802.

It is a self number, because there is not a number n which added to its sum of digits gives 20852832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20852831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 672657 + ... + 672687.

It is an arithmetic number, because the mean of its divisors is an integer number (268128).

Almost surely, 220852832 is an apocalyptic number.

20852832 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20852832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38610432).

20852832 is an abundant number, since it is smaller than the sum of its proper divisors (56368032).

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

20852832 is a wasteful number, since it uses less digits than its factorization.

20852832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 20852832 is about 4566.4901182418. The cubic root of 20852832 is about 275.2464215453.

The spelling of 20852832 in words is "twenty million, eight hundred fifty-two thousand, eight hundred thirty-two".