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52206900 = 223521011723
BaseRepresentation
bin1100011100100…
…1110100110100
310122020101101220
43013021310310
5101331110100
65102550340
71202515464
oct307116464
9118211356
1052206900
11275188a9
12155983b0
13aa7ba75
146d0dba4
1548b3aa0
hex31c9d34

52206900 has 72 divisors (see below), whose sum is σ = 152636064. Its totient is φ = 13776000.

The previous prime is 52206893. The next prime is 52206901. The reversal of 52206900 is 960225.

52206900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×522069002 = 5451120815220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52206901) 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 23 ways as a sum of consecutive naturals, for example, 29439 + ... + 31161.

Almost surely, 252206900 is an apocalyptic number.

52206900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52206900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76318032).

52206900 is an abundant number, since it is smaller than the sum of its proper divisors (100429164).

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

52206900 is a wasteful number, since it uses less digits than its factorization.

52206900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1841 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 52206900 is about 7225.4342430057. The cubic root of 52206900 is about 373.7454968268.

The spelling of 52206900 in words is "fifty-two million, two hundred six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 150 202 300 303 404 505 606 1010 1212 1515 1723 2020 2525 3030 3446 5050 5169 6060 6892 7575 8615 10100 10338 15150 17230 20676 25845 30300 34460 43075 51690 86150 103380 129225 172300 174023 258450 348046 516900 522069 696092 870115 1044138 1740230 2088276 2610345 3480460 4350575 5220690 8701150 10441380 13051725 17402300 26103450 52206900