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53030628 = 223271271657
BaseRepresentation
bin1100101001001…
…0111011100100
310200210020100100
43022102323210
5102033440003
65132344100
71212516150
oct312227344
9120706310
1053030628
1127a30772
1215915030
13aca9991
147086060
1549c7ba3
hex3292ee4

53030628 has 72 divisors (see below), whose sum is σ = 154499072. Its totient is φ = 15023232.

The previous prime is 53030623. The next prime is 53030629. The reversal of 53030628 is 82603035.

53030628 is a `hidden beast` number, since 5 + 3 + 0 + 30 + 628 = 666.

53030628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (53030623) 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, 31176 + ... + 32832.

Almost surely, 253030628 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 53030628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77249536).

53030628 is an abundant number, since it is smaller than the sum of its proper divisors (101468444).

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

53030628 is a wasteful number, since it uses less digits than its factorization.

53030628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801 (or 1796 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 53030628 is about 7282.2131251427. The cubic root of 53030628 is about 375.7009184194.

The spelling of 53030628 in words is "fifty-three million, thirty thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 127 252 254 381 508 762 889 1143 1524 1657 1778 2286 2667 3314 3556 4572 4971 5334 6628 8001 9942 10668 11599 14913 16002 19884 23198 29826 32004 34797 46396 59652 69594 104391 139188 208782 210439 417564 420878 631317 841756 1262634 1473073 1893951 2525268 2946146 3787902 4419219 5892292 7575804 8838438 13257657 17676876 26515314 53030628