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52252224 = 263436329
BaseRepresentation
bin1100011101010…
…0111001000000
310122022200120120
43013110321000
5101334032344
65103540240
71203064563
oct307247100
9118280516
1052252224
1127549962
12155ba680
13aa9659b
146d224da
1548c2219
hex31d4e40

52252224 has 56 divisors (see below), whose sum is σ = 141488160. Its totient is φ = 17009664.

The previous prime is 52252199. The next prime is 52252247. The reversal of 52252224 is 42225225.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 52252194 and 52252203.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5092 + ... + 11420.

Almost surely, 252252224 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 52252224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70744080).

52252224 is an abundant number, since it is smaller than the sum of its proper divisors (89235936).

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

52252224 is a wasteful number, since it uses less digits than its factorization.

52252224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6387 (or 6377 counting only the distinct ones).

The product of its digits is 3200, while the sum is 24.

The square root of 52252224 is about 7228.5699830603. The cubic root of 52252224 is about 373.8536226439.

Adding to 52252224 its reverse (42225225), we get a palindrome (94477449).

The spelling of 52252224 in words is "fifty-two million, two hundred fifty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 344 516 688 1032 1376 2064 2752 4128 6329 8256 12658 18987 25316 37974 50632 75948 101264 151896 202528 272147 303792 405056 544294 607584 816441 1088588 1215168 1632882 2177176 3265764 4354352 6531528 8708704 13063056 17417408 26126112 52252224