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52026928 = 2429313617
BaseRepresentation
bin1100011001110…
…1111000110000
310121220020112021
43012131320300
5101304330203
65055041224
71201136002
oct306357060
9117806467
1052026928
1127405668
1215510214
13aa17b85
146ca4372
15487a5bd
hex319de30

52026928 has 40 divisors (see below), whose sum is σ = 107671680. Its totient is φ = 24299520.

The previous prime is 52026917. The next prime is 52026929. The reversal of 52026928 is 82962025.

52026928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (34) 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 = 52026893 and 52026902.

It is not an unprimeable number, because it can be changed into a prime (52026929) by changing a digit.

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, 12576 + ... + 16192.

It is an arithmetic number, because the mean of its divisors is an integer number (2691792).

Almost surely, 252026928 is an apocalyptic number.

52026928 is a gapful number since it is divisible by the number (58) 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 52026928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53835840).

52026928 is an abundant number, since it is smaller than the sum of its proper divisors (55644752).

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

52026928 is a wasteful number, since it uses less digits than its factorization.

52026928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3685 (or 3679 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 52026928 is about 7212.9694301307. The cubic root of 52026928 is about 373.3155334484.

The spelling of 52026928 in words is "fifty-two million, twenty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 29 31 58 62 116 124 232 248 464 496 899 1798 3596 3617 7192 7234 14384 14468 28936 57872 104893 112127 209786 224254 419572 448508 839144 897016 1678288 1794032 3251683 6503366 13006732 26013464 52026928