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52808128 = 263143619
BaseRepresentation
bin1100100101110…
…0100111000000
310200100221010121
43021130213000
5102004330003
65123510024
71210601362
oct311344700
9120327117
1052808128
112789958a
1215828314
13ac2c619
147028d32
154981cbd
hex325c9c0

52808128 has 56 divisors (see below), whose sum is σ = 110865920. Its totient is φ = 24917760.

The previous prime is 52808117. The next prime is 52808131. The reversal of 52808128 is 82180825.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 52808093 and 52808102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85003 + ... + 85621.

Almost surely, 252808128 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 52808128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55432960).

52808128 is an abundant number, since it is smaller than the sum of its proper divisors (58057792).

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

52808128 is a wasteful number, since it uses less digits than its factorization.

52808128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 34.

The square root of 52808128 is about 7266.9201179041. The cubic root of 52808128 is about 375.1747404886.

The spelling of 52808128 in words is "fifty-two million, eight hundred eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 31 32 43 62 64 86 124 172 248 344 496 619 688 992 1238 1333 1376 1984 2476 2666 2752 4952 5332 9904 10664 19189 19808 21328 26617 38378 39616 42656 53234 76756 85312 106468 153512 212936 307024 425872 614048 825127 851744 1228096 1650254 1703488 3300508 6601016 13202032 26404064 52808128