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5210353242 = 2331918128057
BaseRepresentation
bin1001101101000111…
…11010111001011010
3111110010012100222000
410312203322321122
541132322300432
62221003541430
7243055162143
oct46643727132
914403170860
105210353242
112234121566
121014b2a876
136505cc473
14375dbaaca
1520765857c
hex1368fae5a

5210353242 has 64 divisors (see below), whose sum is σ = 12255734400. Its totient is φ = 1636225920.

The previous prime is 5210353219. The next prime is 5210353297. The reversal of 5210353242 is 2423530125.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171678 + ... + 199734.

It is an arithmetic number, because the mean of its divisors is an integer number (191495850).

Almost surely, 25210353242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5210353242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6127867200).

5210353242 is an abundant number, since it is smaller than the sum of its proper divisors (7045381158).

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

5210353242 is a wasteful number, since it uses less digits than its factorization.

5210353242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28268 (or 28262 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 5210353242 is about 72182.7766298859. The cubic root of 5210353242 is about 1733.6272411461.

Adding to 5210353242 its reverse (2423530125), we get a palindrome (7633883367).

The spelling of 5210353242 in words is "five billion, two hundred ten million, three hundred fifty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 181 342 362 513 543 1026 1086 1629 3258 3439 4887 6878 9774 10317 20634 28057 30951 56114 61902 84171 92853 168342 185706 252513 505026 533083 757539 1066166 1515078 1599249 3198498 4797747 5078317 9595494 10156634 14393241 15234951 28786482 30469902 45704853 91409706 96488023 137114559 192976046 274229118 289464069 578928138 868392207 1736784414 2605176621 5210353242