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52523982 = 232721731113
BaseRepresentation
bin1100100001011…
…1001111001110
310122211111100200
43020113033032
5101421231412
65113434330
71205306100
oct310271716
9118744320
1052523982
1127715055
121570b9a6
13ab601a4
146d93570
1549279dc
hex32173ce

52523982 has 144 divisors (see below), whose sum is σ = 145971072. Its totient is φ = 13547520.

The previous prime is 52523981. The next prime is 52524001. The reversal of 52523982 is 28932525.

52523982 is a `hidden beast` number, since 52 + 523 + 9 + 82 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52523981) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 464758 + ... + 464870.

It is an arithmetic number, because the mean of its divisors is an integer number (1013688).

Almost surely, 252523982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52523982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72985536).

52523982 is an abundant number, since it is smaller than the sum of its proper divisors (93447090).

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

52523982 is a wasteful number, since it uses less digits than its factorization.

52523982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 173 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 52523982 is about 7247.3430993710. The cubic root of 52523982 is about 374.5006259634.

The spelling of 52523982 in words is "fifty-two million, five hundred twenty-three thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 31 34 42 49 51 62 63 93 98 102 113 119 126 147 153 186 217 226 238 279 294 306 339 357 434 441 527 558 651 678 714 791 833 882 1017 1054 1071 1302 1519 1581 1582 1666 1921 1953 2034 2142 2373 2499 3038 3162 3503 3689 3842 3906 4557 4743 4746 4998 5537 5763 7006 7119 7378 7497 9114 9486 10509 11067 11074 11526 13447 13671 14238 14994 16611 17289 21018 22134 24521 25823 26894 27342 31527 33201 33222 34578 40341 49042 49833 51646 59551 63054 66402 73563 77469 80682 94129 99666 119102 121023 147126 154938 171647 178653 188258 220689 232407 242046 282387 343294 357306 416857 441378 464814 514941 535959 564774 833714 847161 1029882 1071918 1250571 1544823 1694322 2501142 2917999 3089646 3751713 5835998 7503426 8753997 17507994 26261991 52523982