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52260544 = 267315371
BaseRepresentation
bin1100011101011…
…0111011000000
310122100002222201
43013112323000
5101334314134
65104042544
71203131050
oct307267300
9118302881
1052260544
1127555136
1215603454
13aa9a2cb
146d25560
1548c4914
hex31d6ec0

52260544 has 112 divisors (see below), whose sum is σ = 126406656. Its totient is φ = 20966400.

The previous prime is 52260529. The next prime is 52260547. The reversal of 52260544 is 44506225.

52260544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (52260547) 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 15 ways as a sum of consecutive naturals, for example, 736029 + ... + 736099.

Almost surely, 252260544 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 52260544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63203328).

52260544 is an abundant number, since it is smaller than the sum of its proper divisors (74146112).

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

52260544 is a wasteful number, since it uses less digits than its factorization.

52260544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 52260544 is about 7229.1454543397. The cubic root of 52260544 is about 373.8734642048.

Adding to 52260544 its reverse (44506225), we get a palindrome (96766769).

The spelling of 52260544 in words is "fifty-two million, two hundred sixty thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 53 56 62 64 71 106 112 124 142 212 217 224 248 284 371 424 434 448 496 497 568 742 848 868 992 994 1136 1484 1643 1696 1736 1984 1988 2201 2272 2968 3286 3392 3472 3763 3976 4402 4544 5936 6572 6944 7526 7952 8804 11501 11872 13144 13888 15052 15407 15904 17608 23002 23744 26288 26341 30104 30814 31808 35216 46004 52576 52682 60208 61628 70432 92008 105152 105364 116653 120416 123256 140864 184016 210728 233306 240832 246512 368032 421456 466612 493024 736064 816571 842912 933224 986048 1633142 1685824 1866448 3266284 3732896 6532568 7465792 13065136 26130272 52260544