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52966782 = 23211283293
BaseRepresentation
bin1100101000001…
…1010101111110
310200122222202200
43022003111332
5102024414112
65131132330
71212132051
oct312032576
9120588680
1052966782
1127997800
12158a40a6
13ac868bb
14706aa98
1549b3cdc
hex328357e

52966782 has 72 divisors (see below), whose sum is σ = 128098152. Its totient is φ = 15803040.

The previous prime is 52966777. The next prime is 52966811. The reversal of 52966782 is 28766925.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 180628 + ... + 180920.

It is an arithmetic number, because the mean of its divisors is an integer number (1779141).

Almost surely, 252966782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52966782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64049076).

52966782 is an abundant number, since it is smaller than the sum of its proper divisors (75131370).

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

52966782 is a wasteful number, since it uses less digits than its factorization.

52966782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 392 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 52966782 is about 7277.8281100889. The cubic root of 52966782 is about 375.5500833609.

The spelling of 52966782 in words is "fifty-two million, nine hundred sixty-six thousand, seven hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 83 99 121 166 198 242 249 293 363 498 586 726 747 879 913 1089 1494 1758 1826 2178 2637 2739 3223 5274 5478 6446 8217 9669 10043 16434 19338 20086 24319 29007 30129 35453 48638 58014 60258 70906 72957 90387 106359 145914 180774 212718 218871 267509 319077 437742 535018 638154 802527 1605054 2407581 2942599 4815162 5885198 8827797 17655594 26483391 52966782