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52112016 = 243211167197
BaseRepresentation
bin1100011011001…
…0101010010000
310122001120020200
43012302222100
5101320041031
65100535200
71201642035
oct306625220
9118046220
1052112016
1127463590
1215551500
13aa47818
146cc738c
1548958e6
hex31b2a90

52112016 has 120 divisors (see below), whose sum is σ = 160864704. Its totient is φ = 15617280.

The previous prime is 52111993. The next prime is 52112017. The reversal of 52112016 is 61021125.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 52112016.

It is not an unprimeable number, because it can be changed into a prime (52112017) by changing a digit.

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, 264430 + ... + 264626.

Almost surely, 252112016 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 52112016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80432352).

52112016 is an abundant number, since it is smaller than the sum of its proper divisors (108752688).

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

52112016 is a wasteful number, since it uses less digits than its factorization.

52112016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 52112016 is about 7218.8652847937. The cubic root of 52112016 is about 373.5189369065.

It can be divided in two parts, 5211 and 2016, that added together give a palindrome (7227).

The spelling of 52112016 in words is "fifty-two million, one hundred twelve thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 167 176 197 198 264 334 394 396 501 528 591 668 788 792 1002 1182 1336 1503 1576 1584 1773 1837 2004 2167 2364 2672 3006 3152 3546 3674 4008 4334 4728 5511 6012 6501 7092 7348 8016 8668 9456 11022 12024 13002 14184 14696 16533 17336 19503 22044 24048 26004 28368 29392 32899 33066 34672 39006 44088 52008 65798 66132 78012 88176 98697 104016 131596 132264 156024 197394 263192 264528 296091 312048 361889 394788 526384 592182 723778 789576 1085667 1184364 1447556 1579152 2171334 2368728 2895112 3257001 4342668 4737456 5790224 6514002 8685336 13028004 17370672 26056008 52112016