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52528050 = 232521131033
BaseRepresentation
bin1100100001100…
…0001110110010
310122211200221100
43020120032302
5101421344200
65113505230
71205324001
oct310301662
9118750840
1052528050
1127718113
1215712216
13ab61cb3
146d94c38
154928d00
hex32183b2

52528050 has 72 divisors (see below), whose sum is σ = 142512084. Its totient is φ = 13870080.

The previous prime is 52528031. The next prime is 52528051. The reversal of 52528050 is 5082525.

It can be written as a sum of positive squares in 6 ways, for example, as 17564481 + 34963569 = 4191^2 + 5913^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (52528051) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 50334 + ... + 51366.

Almost surely, 252528050 is an apocalyptic number.

52528050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 52528050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71256042).

52528050 is an abundant number, since it is smaller than the sum of its proper divisors (89984034).

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

52528050 is a wasteful number, since it uses less digits than its factorization.

52528050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 52528050 is about 7247.6237485123. The cubic root of 52528050 is about 374.5102941134.

The spelling of 52528050 in words is "fifty-two million, five hundred twenty-eight thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 113 150 225 226 339 450 565 678 1017 1033 1130 1695 2034 2066 2825 3099 3390 5085 5165 5650 6198 8475 9297 10170 10330 15495 16950 18594 25425 25825 30990 46485 50850 51650 77475 92970 116729 154950 232425 233458 350187 464850 583645 700374 1050561 1167290 1750935 2101122 2918225 3501870 5252805 5836450 8754675 10505610 17509350 26264025 52528050