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5301505242 = 23611615419
BaseRepresentation
bin1001110111111111…
…01000110011011010
3111200110201101000000
410323333220303122
541324141131432
62234021353430
7245243023335
oct47377506332
914613641000
105301505242
11228061a3a0
12103b568876
13666465867
1438414761c
1521066157c
hex13bfe8cda

5301505242 has 112 divisors (see below), whose sum is σ = 13222501920. Its totient is φ = 1579888800.

The previous prime is 5301505189. The next prime is 5301505259. The reversal of 5301505242 is 2425051035.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 975609 + ... + 981027.

Almost surely, 25301505242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5301505242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6611250960).

5301505242 is an abundant number, since it is smaller than the sum of its proper divisors (7920996678).

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

5301505242 is a wasteful number, since it uses less digits than its factorization.

5301505242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5511 (or 5496 counting only the distinct ones).

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

The square root of 5301505242 is about 72811.4362033877. The cubic root of 5301505242 is about 1743.6784428492.

Adding to 5301505242 its reverse (2425051035), we get a palindrome (7726556277).

The spelling of 5301505242 in words is "five billion, three hundred one million, five hundred five thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 61 66 81 99 122 162 183 198 243 297 366 486 549 594 671 729 891 1098 1342 1458 1647 1782 2013 2673 3294 4026 4941 5346 5419 6039 8019 9882 10838 12078 14823 16038 16257 18117 29646 32514 36234 44469 48771 54351 59609 88938 97542 108702 119218 146313 163053 178827 292626 326106 330559 357654 438939 489159 536481 661118 877878 978318 991677 1072962 1316817 1609443 1983354 2633634 2975031 3218886 3636149 3950451 4828329 5950062 7272298 7900902 8925093 9656658 10908447 14484987 17850186 21816894 26775279 28969974 32725341 43454961 53550558 65450682 80325837 86909922 98176023 160651674 196352046 240977511 294528069 481955022 589056138 883584207 1767168414 2650752621 5301505242