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52657856 = 262383431
BaseRepresentation
bin1100100011011…
…1111011000000
310200002021222222
43020313323000
5101440022411
65120350212
71206404306
oct310677300
9120067888
1052657856
11277a6699
1215775368
13aba90c4
146dca276
1549524db
hex3237ec0

52657856 has 56 divisors (see below), whose sum is σ = 110605824. Its totient is φ = 24823040.

The previous prime is 52657837. The next prime is 52657859. The reversal of 52657856 is 65875625.

52657856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (52657859) 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, 121961 + ... + 122391.

It is an arithmetic number, because the mean of its divisors is an integer number (1975104).

Almost surely, 252657856 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 52657856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55302912).

52657856 is an abundant number, since it is smaller than the sum of its proper divisors (57947968).

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

52657856 is a wasteful number, since it uses less digits than its factorization.

52657856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 539 counting only the distinct ones).

The product of its digits is 504000, while the sum is 44.

The square root of 52657856 is about 7256.5732959848. The cubic root of 52657856 is about 374.8185338305.

The spelling of 52657856 in words is "fifty-two million, six hundred fifty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 23 32 46 64 83 92 166 184 332 368 431 664 736 862 1328 1472 1724 1909 2656 3448 3818 5312 6896 7636 9913 13792 15272 19826 27584 30544 35773 39652 61088 71546 79304 122176 143092 158608 286184 317216 572368 634432 822779 1144736 1645558 2289472 3291116 6582232 13164464 26328928 52657856