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52573032 = 23322353599
BaseRepresentation
bin1100100010001…
…1001101101000
310122220222122100
43020203031220
5101424314112
65114453400
71205602101
oct310431550
9118828570
1052573032
1127748996
1215734260
13ab79605
146da73a8
1549372dc
hex3223368

52573032 has 96 divisors (see below), whose sum is σ = 151632000. Its totient is φ = 16418688.

The previous prime is 52572907. The next prime is 52573049. The reversal of 52573032 is 23037525.

It is a junction number, because it is equal to n+sod(n) for n = 52572987 and 52573005.

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 23 ways as a sum of consecutive naturals, for example, 87469 + ... + 88067.

It is an arithmetic number, because the mean of its divisors is an integer number (1579500).

Almost surely, 252573032 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 52573032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75816000).

52573032 is an abundant number, since it is smaller than the sum of its proper divisors (99058968).

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

52573032 is a wasteful number, since it uses less digits than its factorization.

52573032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 52573032 is about 7250.7263084466. The cubic root of 52573032 is about 374.6171666360.

The spelling of 52573032 in words is "fifty-two million, five hundred seventy-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 53 69 72 92 106 138 159 184 207 212 276 318 414 424 477 552 599 636 828 954 1198 1219 1272 1656 1797 1908 2396 2438 3594 3657 3816 4792 4876 5391 7188 7314 9752 10782 10971 13777 14376 14628 21564 21942 27554 29256 31747 41331 43128 43884 55108 63494 82662 87768 95241 110216 123993 126988 165324 190482 247986 253976 285723 330648 380964 495972 571446 730181 761928 991944 1142892 1460362 2190543 2285784 2920724 4381086 5841448 6571629 8762172 13143258 17524344 26286516 52573032