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52125504 = 263733719
BaseRepresentation
bin1100011011010…
…1111101000000
310122002020202020
43012311331000
5101321004004
65101121440
71202026254
oct306657500
9118066666
1052125504
1127472732
1215559280
13aa509c2
146ccc264
1548998d9
hex31b5f40

52125504 has 56 divisors (see below), whose sum is σ = 139842240. Its totient is φ = 17132544.

The previous prime is 52125467. The next prime is 52125523. The reversal of 52125504 is 40552125.

It is a happy number.

52125504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 12157 + ... + 15875.

Almost surely, 252125504 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 52125504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69921120).

52125504 is an abundant number, since it is smaller than the sum of its proper divisors (87716736).

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

52125504 is a wasteful number, since it uses less digits than its factorization.

52125504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3807 (or 3797 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 52125504 is about 7219.7994431979. The cubic root of 52125504 is about 373.5511597296.

Adding to 52125504 its reverse (40552125), we get a palindrome (92677629).

The spelling of 52125504 in words is "fifty-two million, one hundred twenty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 146 192 219 292 438 584 876 1168 1752 2336 3504 3719 4672 7008 7438 11157 14016 14876 22314 29752 44628 59504 89256 119008 178512 238016 271487 357024 542974 714048 814461 1085948 1628922 2171896 3257844 4343792 6515688 8687584 13031376 17375168 26062752 52125504