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52985772 = 22337109643
BaseRepresentation
bin1100101000011…
…1111110101100
310200200221211000
43022013332230
5102031021042
65131400300
71212241320
oct312077654
9120627730
1052985772
11279aaaa4
12158b3090
13ac92438
147073980
1549b974c
hex3287fac

52985772 has 96 divisors (see below), whose sum is σ = 158681600. Its totient is φ = 14976576.

The previous prime is 52985771. The next prime is 52985819. The reversal of 52985772 is 27758925.

It is a happy number.

52985772 is a `hidden beast` number, since 529 + 8 + 57 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (52985771) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82083 + ... + 82725.

Almost surely, 252985772 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 52985772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79340800).

52985772 is an abundant number, since it is smaller than the sum of its proper divisors (105695828).

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

52985772 is a wasteful number, since it uses less digits than its factorization.

52985772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 764 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The square root of 52985772 is about 7279.1326406379. The cubic root of 52985772 is about 375.5949595624.

The spelling of 52985772 in words is "fifty-two million, nine hundred eighty-five thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 109 126 189 218 252 327 378 436 643 654 756 763 981 1286 1308 1526 1929 1962 2289 2572 2943 3052 3858 3924 4501 4578 5787 5886 6867 7716 9002 9156 11574 11772 13503 13734 17361 18004 20601 23148 27006 27468 34722 40509 41202 54012 69444 70087 81018 82404 121527 140174 162036 210261 243054 280348 420522 486108 490609 630783 841044 981218 1261566 1471827 1892349 1962436 2523132 2943654 3784698 4415481 5887308 7569396 8830962 13246443 17661924 26492886 52985772