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52713128 = 23132127307
BaseRepresentation
bin1100100100010…
…1011010101000
310200012002211002
43021011122220
5101443310003
65121454132
71210024406
oct311053250
9120162732
1052713128
1127834176
12157a1348
13abc8300
147002476
154963a88
hex32456a8

52713128 has 48 divisors (see below), whose sum is σ = 108218880. Its totient is φ = 24058944.

The previous prime is 52713119. The next prime is 52713131. The reversal of 52713128 is 82131725.

It is a self number, because there is not a number n which added to its sum of digits gives 52713128.

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 11 ways as a sum of consecutive naturals, for example, 171551 + ... + 171857.

It is an arithmetic number, because the mean of its divisors is an integer number (2254560).

Almost surely, 252713128 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 52713128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54109440).

52713128 is an abundant number, since it is smaller than the sum of its proper divisors (55505752).

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

52713128 is a wasteful number, since it uses less digits than its factorization.

52713128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 449 counting only the distinct ones).

The product of its digits is 3360, while the sum is 29.

The square root of 52713128 is about 7260.3807062715. The cubic root of 52713128 is about 374.9496299753.

The spelling of 52713128 in words is "fifty-two million, seven hundred thirteen thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 26 52 104 127 169 254 307 338 508 614 676 1016 1228 1352 1651 2456 3302 3991 6604 7982 13208 15964 21463 31928 38989 42926 51883 77978 85852 103766 155956 171704 207532 311912 415064 506857 1013714 2027428 4054856 6589141 13178282 26356564 52713128