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52522272 = 25321159281
BaseRepresentation
bin1100100001011…
…0110100100000
310122211102000100
43020112310200
5101421203042
65113422400
71205301105
oct310266440
9118742010
1052522272
1127713840
121570aa00
13ab5c48a
146d92aac
15492724c
hex3216d20

52522272 has 144 divisors (see below), whose sum is σ = 166289760. Its totient is φ = 15590400.

The previous prime is 52522241. The next prime is 52522273. The reversal of 52522272 is 27222525.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (52522273) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186772 + ... + 187052.

It is an arithmetic number, because the mean of its divisors is an integer number (1154790).

Almost surely, 252522272 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 52522272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83144880).

52522272 is an abundant number, since it is smaller than the sum of its proper divisors (113767488).

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

52522272 is a wasteful number, since it uses less digits than its factorization.

52522272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 356 counting only the distinct ones).

The product of its digits is 5600, while the sum is 27.

The square root of 52522272 is about 7247.2251241423. The cubic root of 52522272 is about 374.4965617690.

Adding to 52522272 its reverse (27222525), we get a palindrome (79744797).

The spelling of 52522272 in words is "fifty-two million, five hundred twenty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 59 66 72 88 96 99 118 132 144 176 177 198 236 264 281 288 352 354 396 472 528 531 562 649 708 792 843 944 1056 1062 1124 1298 1416 1584 1686 1888 1947 2124 2248 2529 2596 2832 3091 3168 3372 3894 4248 4496 5058 5192 5664 5841 6182 6744 7788 8496 8992 9273 10116 10384 11682 12364 13488 15576 16579 16992 18546 20232 20768 23364 24728 26976 27819 31152 33158 37092 40464 46728 49456 49737 55638 62304 66316 74184 80928 93456 98912 99474 111276 132632 148368 149211 182369 186912 198948 222552 265264 296736 298422 364738 397896 445104 530528 547107 596844 729476 795792 890208 1094214 1193688 1458952 1591584 1641321 2188428 2387376 2917904 3282642 4376856 4774752 5835808 6565284 8753712 13130568 17507424 26261136 52522272