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52386192 = 24321941467
BaseRepresentation
bin1100011111010…
…1100110010000
310122120111100100
43013311212100
5101402324232
65110452400
71204163265
oct307654620
9118514310
1052386192
1127630581
1215664100
13ab12561
146d5926c
1548ebc7c
hex31f5990

52386192 has 120 divisors (see below), whose sum is σ = 158427360. Its totient is φ = 16104960.

The previous prime is 52386179. The next prime is 52386193. The reversal of 52386192 is 29168325.

52386192 is a `hidden beast` number, since 5 + 2 + 38 + 619 + 2 = 666.

52386192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×523861922 = 5488626224521728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (52386193) by changing a digit.

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, 111943 + ... + 112409.

It is an arithmetic number, because the mean of its divisors is an integer number (1320228).

Almost surely, 252386192 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 52386192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79213680).

52386192 is an abundant number, since it is smaller than the sum of its proper divisors (106041168).

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

52386192 is a wasteful number, since it uses less digits than its factorization.

52386192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 532 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 52386192 is about 7237.8306142103. The cubic root of 52386192 is about 374.1728542210.

The spelling of 52386192 in words is "fifty-two million, three hundred eighty-six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 41 48 57 72 76 82 114 123 144 152 164 171 228 246 304 328 342 369 456 467 492 656 684 738 779 912 934 984 1368 1401 1476 1558 1868 1968 2337 2736 2802 2952 3116 3736 4203 4674 5604 5904 6232 7011 7472 8406 8873 9348 11208 12464 14022 16812 17746 18696 19147 22416 26619 28044 33624 35492 37392 38294 53238 56088 57441 67248 70984 76588 79857 106476 112176 114882 141968 153176 159714 172323 212952 229764 306352 319428 344646 363793 425904 459528 638856 689292 727586 919056 1091379 1277712 1378584 1455172 2182758 2757168 2910344 3274137 4365516 5820688 6548274 8731032 13096548 17462064 26193096 52386192