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52141504 = 263141641
BaseRepresentation
bin1100011011100…
…1110111000000
310122010001200211
43012321313000
5101322012004
65101323504
71202124022
oct306716700
9118101624
1052141504
1127483758
1215566594
13aa5807c
146cd4012
15489e504
hex31b9dc0

52141504 has 56 divisors (see below), whose sum is σ = 109581696. Its totient is φ = 24576000.

The previous prime is 52141493. The next prime is 52141549. The reversal of 52141504 is 40514125.

52141504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (22) 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, 81024 + ... + 81664.

It is an arithmetic number, because the mean of its divisors is an integer number (1956816).

Almost surely, 252141504 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 52141504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54790848).

52141504 is an abundant number, since it is smaller than the sum of its proper divisors (57440192).

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

52141504 is a wasteful number, since it uses less digits than its factorization.

52141504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 52141504 is about 7220.9074222012. The cubic root of 52141504 is about 373.5893765120.

Adding to 52141504 its reverse (40514125), we get a palindrome (92655629).

It can be divided in two parts, 521 and 41504, that added together give a square (42025 = 2052).

The spelling of 52141504 in words is "fifty-two million, one hundred forty-one thousand, five hundred four".

Divisors: 1 2 4 8 16 31 32 41 62 64 82 124 164 248 328 496 641 656 992 1271 1282 1312 1984 2542 2564 2624 5084 5128 10168 10256 19871 20336 20512 26281 39742 40672 41024 52562 79484 81344 105124 158968 210248 317936 420496 635872 814711 840992 1271744 1629422 1681984 3258844 6517688 13035376 26070752 52141504