Search a number
-
+
5207142408 = 23313234715439
BaseRepresentation
bin1001101100101111…
…01011000000001000
3111102220011020112020
410312113223000020
541131012024113
62220411044440
7243015660126
oct46627530010
914386136466
105207142408
112232329186
121013a40720
1364ca46b70
143757c2916
15207222023
hex1365eb008

5207142408 has 128 divisors (see below), whose sum is σ = 14940979200. Its totient is φ = 1499832576.

The previous prime is 5207142407. The next prime is 5207142461. The reversal of 5207142408 is 8042417025.

It is a super-2 number, since 2×52071424082 = 54228664114384076928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5207142403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329553 + ... + 344991.

It is an arithmetic number, because the mean of its divisors is an integer number (116726400).

Almost surely, 25207142408 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 5207142408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7470489600).

5207142408 is an abundant number, since it is smaller than the sum of its proper divisors (9733836792).

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

5207142408 is a wasteful number, since it uses less digits than its factorization.

5207142408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15531 (or 15527 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 5207142408 is about 72160.5322042458. The cubic root of 5207142408 is about 1733.2710571642.

The spelling of 5207142408 in words is "five billion, two hundred seven million, one hundred forty-two thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 47 52 69 78 92 94 104 138 141 156 184 188 276 282 299 312 376 552 564 598 611 897 1081 1128 1196 1222 1794 1833 2162 2392 2444 3243 3588 3666 4324 4888 6486 7176 7332 8648 12972 14053 14664 15439 25944 28106 30878 42159 46317 56212 61756 84318 92634 112424 123512 168636 185268 200707 337272 355097 370536 401414 602121 710194 725633 802828 1065291 1204242 1420388 1451266 1605656 2130582 2176899 2408484 2840776 2902532 4261164 4353798 4616261 4816968 5805064 8522328 8707596 9232522 9433229 13848783 16689559 17415192 18465044 18866458 27697566 28299687 33379118 36930088 37732916 50068677 55395132 56599374 66758236 75465832 100137354 110790264 113198748 133516472 200274708 216964267 226397496 400549416 433928534 650892801 867857068 1301785602 1735714136 2603571204 5207142408