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52338728 = 23131732909
BaseRepresentation
bin1100011110101…
…0000000101000
310122111002020102
43013222000220
5101344314403
65105444532
71203605021
oct307520050
9118432212
1052338728
11275a8952
1215640748
13aac6a80
146d45c48
1548dcb88
hex31ea028

52338728 has 32 divisors (see below), whose sum is σ = 106331400. Its totient is φ = 24008448.

The previous prime is 52338703. The next prime is 52338739. The reversal of 52338728 is 82783325.

It can be written as a sum of positive squares in 4 ways, for example, as 51294244 + 1044484 = 7162^2 + 1022^2 .

It is a junction number, because it is equal to n+sod(n) for n = 52338691 and 52338700.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16538 + ... + 19446.

Almost surely, 252338728 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 52338728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53165700).

52338728 is an abundant number, since it is smaller than the sum of its proper divisors (53992672).

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

52338728 is a wasteful number, since it uses less digits than its factorization.

52338728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3101 (or 3097 counting only the distinct ones).

The product of its digits is 80640, while the sum is 38.

The square root of 52338728 is about 7234.5509881402. The cubic root of 52338728 is about 374.0598148490.

The spelling of 52338728 in words is "fifty-two million, three hundred thirty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 13 26 52 104 173 346 692 1384 2249 2909 4498 5818 8996 11636 17992 23272 37817 75634 151268 302536 503257 1006514 2013028 4026056 6542341 13084682 26169364 52338728