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52728852 = 22311537537
BaseRepresentation
bin1100100100100…
…1010000010100
310200012220101110
43021021100110
5101444310402
65122055020
71210121301
oct311112024
9120186343
1052728852
1127844a70
12157aa470
13ac02507
1470080a8
15496856c
hex3249414

52728852 has 48 divisors (see below), whose sum is σ = 136769472. Its totient is φ = 15674880.

The previous prime is 52728839. The next prime is 52728881. The reversal of 52728852 is 25882725.

It is a happy number.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 52728852.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3228 + ... + 10764.

It is an arithmetic number, because the mean of its divisors is an integer number (2849364).

Almost surely, 252728852 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 52728852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68384736).

52728852 is an abundant number, since it is smaller than the sum of its proper divisors (84040620).

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

52728852 is a wasteful number, since it uses less digits than its factorization.

52728852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7608 (or 7606 counting only the distinct ones).

The product of its digits is 89600, while the sum is 39.

The square root of 52728852 is about 7261.4634888568. The cubic root of 52728852 is about 374.9869079874.

The spelling of 52728852 in words is "fifty-two million, seven hundred twenty-eight thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 53 66 106 132 159 212 318 583 636 1166 1749 2332 3498 6996 7537 15074 22611 30148 45222 82907 90444 165814 248721 331628 399461 497442 798922 994884 1198383 1597844 2396766 4394071 4793532 8788142 13182213 17576284 26364426 52728852