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52001504 = 251725623
BaseRepresentation
bin1100011001011…
…1101011100000
310121211221122122
43012113223200
5101303022004
65054323412
71201001612
oct306275340
9117757578
1052001504
1127398555
12154b9568
13aa09429
146c98db2
154872cbe
hex3197ae0

52001504 has 36 divisors (see below), whose sum is σ = 108773784. Its totient is φ = 24466944.

The previous prime is 52001503. The next prime is 52001527. The reversal of 52001504 is 40510025.

52001504 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 (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52001503) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 6437 + ... + 12059.

It is an arithmetic number, because the mean of its divisors is an integer number (3021494).

Almost surely, 252001504 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 52001504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54386892).

52001504 is an abundant number, since it is smaller than the sum of its proper divisors (56772280).

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

52001504 is a wasteful number, since it uses less digits than its factorization.

52001504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5667 (or 5642 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 52001504 is about 7211.2068338108. The cubic root of 52001504 is about 373.2547141706.

Adding to 52001504 its reverse (40510025), we get a palindrome (92511529).

The spelling of 52001504 in words is "fifty-two million, one thousand, five hundred four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 289 544 578 1156 2312 4624 5623 9248 11246 22492 44984 89968 95591 179936 191182 382364 764728 1529456 1625047 3058912 3250094 6500188 13000376 26000752 52001504