Search a number
-
+
53016726 = 2372199491
BaseRepresentation
bin1100101000111…
…1100010010110
310200202112021110
43022033202112
5102033013401
65132155450
71212430500
oct312174226
9120675243
1053016726
1127a21284
1215908b86
13aca3559
147080d70
1549c39d6
hex328f896

53016726 has 48 divisors (see below), whose sum is σ = 129850560. Its totient is φ = 14348880.

The previous prime is 53016709. The next prime is 53016737. The reversal of 53016726 is 62761035.

53016726 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 53016693 and 53016702.

It is a congruent number.

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, 841 + ... + 10331.

It is an arithmetic number, because the mean of its divisors is an integer number (2705220).

Almost surely, 253016726 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53016726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64925280).

53016726 is an abundant number, since it is smaller than the sum of its proper divisors (76833834).

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

53016726 is a wasteful number, since it uses less digits than its factorization.

53016726 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9529 (or 9522 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 53016726 is about 7281.2585450594. The cubic root of 53016726 is about 375.6680855023.

It can be divided in two parts, 53016 and 726, that multiplied together give a square (38489616 = 62042).

The spelling of 53016726 in words is "fifty-three million, sixteen thousand, seven hundred twenty-six".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 98 114 133 147 266 294 399 798 931 1862 2793 5586 9491 18982 28473 56946 66437 132874 180329 199311 360658 398622 465059 540987 930118 1081974 1262303 1395177 2524606 2790354 3786909 7573818 8836121 17672242 26508363 53016726