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52552620 = 223252811039
BaseRepresentation
bin1100100001111…
…0001110101100
310122212221122100
43020132032230
5101423140440
65114215100
71205455431
oct310361654
9118787570
1052552620
112773461a
1215724490
13ab70233
146d9db88
154931230
hex321e3ac

52552620 has 72 divisors (see below), whose sum is σ = 160130880. Its totient is φ = 13950720.

The previous prime is 52552607. The next prime is 52552637. The reversal of 52552620 is 2625525.

52552620 is a `hidden beast` number, since 52 + 552 + 62 + 0 = 666.

52552620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 50061 + ... + 51099.

It is an arithmetic number, because the mean of its divisors is an integer number (2224040).

Almost surely, 252552620 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 52552620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80065440).

52552620 is an abundant number, since it is smaller than the sum of its proper divisors (107578260).

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

52552620 is a wasteful number, since it uses less digits than its factorization.

52552620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 52552620 is about 7249.3185886675. The cubic root of 52552620 is about 374.5686774191.

It can be divided in two parts, 5255 and 2620, that added together give a triangular number (7875 = T125).

The spelling of 52552620 in words is "fifty-two million, five hundred fifty-two thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 281 562 843 1039 1124 1405 1686 2078 2529 2810 3117 3372 4156 4215 5058 5195 5620 6234 8430 9351 10116 10390 12468 12645 15585 16860 18702 20780 25290 31170 37404 46755 50580 62340 93510 187020 291959 583918 875877 1167836 1459795 1751754 2627631 2919590 3503508 4379385 5255262 5839180 8758770 10510524 13138155 17517540 26276310 52552620