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52885728 = 2532737709
BaseRepresentation
bin1100100110111…
…1100011100000
310200111212120200
43021233203200
5102014320403
65125305200
71211343540
oct311574340
9120455520
1052885728
1127941915
1215865200
13ac58a3c
147049320
154999ca3
hex326f8e0

52885728 has 144 divisors (see below), whose sum is σ = 176772960. Its totient is φ = 14681088.

The previous prime is 52885711. The next prime is 52885739. The reversal of 52885728 is 82758825.

52885728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 74238 + ... + 74946.

It is an arithmetic number, because the mean of its divisors is an integer number (1227590).

Almost surely, 252885728 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 52885728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88386480).

52885728 is an abundant number, since it is smaller than the sum of its proper divisors (123887232).

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

52885728 is a wasteful number, since it uses less digits than its factorization.

52885728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 758 counting only the distinct ones).

The product of its digits is 358400, while the sum is 45.

The square root of 52885728 is about 7272.2574211864. The cubic root of 52885728 is about 375.3584199845.

The spelling of 52885728 in words is "fifty-two million, eight hundred eighty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 37 42 48 56 63 72 74 84 96 111 112 126 144 148 168 222 224 252 259 288 296 333 336 444 504 518 592 666 672 709 777 888 1008 1036 1184 1332 1418 1554 1776 2016 2072 2127 2331 2664 2836 3108 3552 4144 4254 4662 4963 5328 5672 6216 6381 8288 8508 9324 9926 10656 11344 12432 12762 14889 17016 18648 19852 22688 24864 25524 26233 29778 34032 37296 39704 44667 51048 52466 59556 68064 74592 78699 79408 89334 102096 104932 119112 157398 158816 178668 183631 204192 209864 236097 238224 314796 357336 367262 419728 472194 476448 550893 629592 714672 734524 839456 944388 1101786 1259184 1429344 1469048 1652679 1888776 2203572 2518368 2938096 3305358 3777552 4407144 5876192 6610716 7555104 8814288 13221432 17628576 26442864 52885728