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52806528 = 2732231993
BaseRepresentation
bin1100100101110…
…0001110000000
310200100211221100
43021130032000
5102004302103
65123454400
71210563615
oct311341600
9120324840
1052806528
1127898365
1215827400
13ac2b988
14702850c
1549815a3
hex325c380

52806528 has 96 divisors (see below), whose sum is σ = 158642640. Its totient is φ = 16828416.

The previous prime is 52806527. The next prime is 52806553. The reversal of 52806528 is 82560825.

52806528 is a `hidden beast` number, since 52 + 80 + 6 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 52806492 and 52806501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52806527) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25500 + ... + 27492.

Almost surely, 252806528 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 52806528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79321320).

52806528 is an abundant number, since it is smaller than the sum of its proper divisors (105836112).

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

52806528 is a wasteful number, since it uses less digits than its factorization.

52806528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2036 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 52806528 is about 7266.8100291669. The cubic root of 52806528 is about 375.1709513898.

The spelling of 52806528 in words is "fifty-two million, eight hundred six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 276 288 368 384 414 552 576 736 828 1104 1152 1472 1656 1993 2208 2944 3312 3986 4416 5979 6624 7972 8832 11958 13248 15944 17937 23916 26496 31888 35874 45839 47832 63776 71748 91678 95664 127552 137517 143496 183356 191328 255104 275034 286992 366712 382656 412551 550068 573984 733424 765312 825102 1100136 1147968 1466848 1650204 2200272 2295936 2933696 3300408 4400544 5867392 6600816 8801088 13201632 17602176 26403264 52806528