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52253664 = 2531075087
BaseRepresentation
bin1100011101010…
…1001111100000
310122022202112220
43013111033200
5101334104124
65103551040
71203102021
oct307251740
9118282486
1052253664
112754aa51
12155bb480
13aa97138
146d22c48
1548c2879
hex31d53e0

52253664 has 48 divisors (see below), whose sum is σ = 138475008. Its totient is φ = 17251712.

The previous prime is 52253653. The next prime is 52253683. The reversal of 52253664 is 46635225.

52253664 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 (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 7729 + ... + 12815.

It is an arithmetic number, because the mean of its divisors is an integer number (2884896).

Almost surely, 252253664 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 52253664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69237504).

52253664 is an abundant number, since it is smaller than the sum of its proper divisors (86221344).

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

52253664 is a wasteful number, since it uses less digits than its factorization.

52253664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5207 (or 5199 counting only the distinct ones).

The product of its digits is 43200, while the sum is 33.

The square root of 52253664 is about 7228.6695871370. The cubic root of 52253664 is about 373.8570569109.

Adding to 52253664 its reverse (46635225), we get a palindrome (98888889).

The spelling of 52253664 in words is "fifty-two million, two hundred fifty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 214 321 428 642 856 1284 1712 2568 3424 5087 5136 10174 10272 15261 20348 30522 40696 61044 81392 122088 162784 244176 488352 544309 1088618 1632927 2177236 3265854 4354472 6531708 8708944 13063416 17417888 26126832 52253664