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5252126352 = 2431161179911
BaseRepresentation
bin1001110010000110…
…10001011010010000
3111120000210122220020
410321003101122100
541224021020402
62225055143440
7244103223504
oct47103213220
914500718806
105252126352
1122557632a0
121026b14b80
13659167095
1437b772304
1520b15a8bc
hex1390d1690

5252126352 has 160 divisors (see below), whose sum is σ = 15144744960. Its totient is φ = 1555008000.

The previous prime is 5252126333. The next prime is 5252126371. The reversal of 5252126352 is 2536212525.

It is an interprime number because it is at equal distance from previous prime (5252126333) and next prime (5252126371).

It is a Harshad number since it is a multiple of its sum of digits (33).

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 31 ways as a sum of consecutive naturals, for example, 5764777 + ... + 5765687.

It is an arithmetic number, because the mean of its divisors is an integer number (94654656).

Almost surely, 25252126352 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 5252126352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7572372480).

5252126352 is an abundant number, since it is smaller than the sum of its proper divisors (9892618608).

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

5252126352 is a wasteful number, since it uses less digits than its factorization.

5252126352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1167 counting only the distinct ones).

The product of its digits is 36000, while the sum is 33.

The square root of 5252126352 is about 72471.5554683353. Note that the first 3 decimals coincide. The cubic root of 5252126352 is about 1738.2479338263.

Adding to 5252126352 its reverse (2536212525), we get a palindrome (7788338877).

The spelling of 5252126352 in words is "five billion, two hundred fifty-two million, one hundred twenty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 61 66 88 122 132 176 179 183 244 264 358 366 488 528 537 671 716 732 911 976 1074 1342 1432 1464 1822 1969 2013 2148 2684 2733 2864 2928 3644 3938 4026 4296 5368 5466 5907 7288 7876 8052 8592 10021 10736 10919 10932 11814 14576 15752 16104 20042 21838 21864 23628 30063 31504 32208 32757 40084 43676 43728 47256 55571 60126 65514 80168 87352 94512 111142 120109 120252 131028 160336 163069 166713 174704 222284 240218 240504 262056 326138 333426 360327 444568 480436 481008 489207 524112 611281 652276 666852 720654 889136 960872 978414 1222562 1304552 1333704 1441308 1793759 1833843 1921744 1956828 2445124 2609104 2667408 2882616 3587518 3667686 3913656 4890248 5381277 5765232 7175036 7335372 7827312 9780496 9947209 10762554 14350072 14670744 19894418 21525108 28700144 29341488 29841627 39788836 43050216 59683254 79577672 86100432 109419299 119366508 159155344 218838598 238733016 328257897 437677196 477466032 656515794 875354392 1313031588 1750708784 2626063176 5252126352