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5052616540 = 225232479997
BaseRepresentation
bin1001011010010100…
…01100111101011100
3111001010101111212221
410231022030331130
540321432212130
62153211035124
7236131350316
oct45512147534
914033344787
105052616540
112163085654
12b9013baa4
13626a21c3a
1435d07a7b6
151e889b87a
hex12d28cf5c

5052616540 has 72 divisors (see below), whose sum is σ = 11126183040. Its totient is φ = 1927204224.

The previous prime is 5052616531. The next prime is 5052616603. The reversal of 5052616540 is 456162505.

It is a junction number, because it is equal to n+sod(n) for n = 5052616496 and 5052616505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5067322 + ... + 5068318.

It is an arithmetic number, because the mean of its divisors is an integer number (154530320).

Almost surely, 25052616540 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 5052616540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5563091520).

5052616540 is an abundant number, since it is smaller than the sum of its proper divisors (6073566500).

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

5052616540 is a wasteful number, since it uses less digits than its factorization.

5052616540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The square root of 5052616540 is about 71081.7595449072. The cubic root of 5052616540 is about 1715.9532297082.

The spelling of 5052616540 in words is "five billion, fifty-two million, six hundred sixteen thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 479 529 958 997 1058 1916 1994 2116 2395 2645 3988 4790 4985 5290 9580 9970 10580 11017 19940 22034 22931 44068 45862 55085 91724 110170 114655 220340 229310 253391 458620 477563 506782 527413 955126 1013564 1054826 1266955 1910252 2109652 2387815 2533910 2637065 4775630 5067820 5274130 9551260 10548260 10983949 21967898 43935796 54919745 109839490 219678980 252630827 505261654 1010523308 1263154135 2526308270 5052616540