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52881768 = 2333475209
BaseRepresentation
bin1100100110111…
…0100101101000
310200111200011000
43021232211220
5102014204033
65125235000
71211326152
oct311564550
9120450130
1052881768
1127939945
1215862a60
13ac56cb4
147047ad2
154998a13
hex326e968

52881768 has 64 divisors (see below), whose sum is σ = 150048000. Its totient is φ = 17248896.

The previous prime is 52881767. The next prime is 52881779. The reversal of 52881768 is 86718825.

52881768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52881767) 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 15 ways as a sum of consecutive naturals, for example, 7548 + ... + 12756.

It is an arithmetic number, because the mean of its divisors is an integer number (2344500).

Almost surely, 252881768 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 52881768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75024000).

52881768 is an abundant number, since it is smaller than the sum of its proper divisors (97166232).

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

52881768 is a wasteful number, since it uses less digits than its factorization.

52881768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5271 (or 5261 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The square root of 52881768 is about 7271.9851484997. The cubic root of 52881768 is about 375.3490510016.

It can be divided in two parts, 5288 and 1768, that added together give a square (7056 = 842).

The spelling of 52881768 in words is "fifty-two million, eight hundred eighty-one thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 94 108 141 188 216 282 376 423 564 846 1128 1269 1692 2538 3384 5076 5209 10152 10418 15627 20836 31254 41672 46881 62508 93762 125016 140643 187524 244823 281286 375048 489646 562572 734469 979292 1125144 1468938 1958584 2203407 2937876 4406814 5875752 6610221 8813628 13220442 17627256 26440884 52881768