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20525624 = 23719101191
BaseRepresentation
bin100111001001…
…1001000111000
31102121210212022
41032103020320
520223304444
62011534012
7336315320
oct116231070
942553768
1020525624
111064a229
126a5a308
134338752
142a24280
151c069ee
hex1393238

20525624 has 64 divisors (see below), whose sum is σ = 47001600. Its totient is φ = 8208000.

The previous prime is 20525623. The next prime is 20525633. The reversal of 20525624 is 42652502.

It is a junction number, because it is equal to n+sod(n) for n = 20525593 and 20525602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20525623) 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 15 ways as a sum of consecutive naturals, for example, 107369 + ... + 107559.

It is an arithmetic number, because the mean of its divisors is an integer number (734400).

Almost surely, 220525624 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 20525624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23500800).

20525624 is an abundant number, since it is smaller than the sum of its proper divisors (26475976).

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

20525624 is a wasteful number, since it uses less digits than its factorization.

20525624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 20525624 is about 4530.5213827991. The cubic root of 20525624 is about 273.7991673049.

The spelling of 20525624 in words is "twenty million, five hundred twenty-five thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 101 133 152 191 202 266 382 404 532 707 764 808 1064 1337 1414 1528 1919 2674 2828 3629 3838 5348 5656 7258 7676 10696 13433 14516 15352 19291 25403 26866 29032 38582 50806 53732 77164 101612 107464 135037 154328 203224 270074 366529 540148 733058 1080296 1466116 2565703 2932232 5131406 10262812 20525624