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5007782808 = 2332710198377
BaseRepresentation
bin1001010100111110…
…01011001110011000
3110221000000201120100
410222133023032120
540223443022213
62144530055400
7235045310610
oct45237131630
913830021510
105007782808
11213a843386
12b7911a560
1361a6551c2
14357129a40
151e4992773
hex12a7cb398

5007782808 has 96 divisors (see below), whose sum is σ = 15653907360. Its totient is φ = 1416614400.

The previous prime is 5007782807. The next prime is 5007782827. The reversal of 5007782808 is 8082877005.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5007782807) by changing a digit.

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, 1716 + ... + 100092.

It is an arithmetic number, because the mean of its divisors is an integer number (163061535).

Almost surely, 25007782808 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 5007782808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7826953680).

5007782808 is an abundant number, since it is smaller than the sum of its proper divisors (10646124552).

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

5007782808 is a wasteful number, since it uses less digits than its factorization.

5007782808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98497 (or 98490 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The square root of 5007782808 is about 70765.6894829691. The cubic root of 5007782808 is about 1710.8627143647.

The spelling of 5007782808 in words is "five billion, seven million, seven hundred eighty-two thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 101 126 168 202 252 303 404 504 606 707 808 909 1212 1414 1818 2121 2424 2828 3636 4242 5656 6363 7272 8484 12726 16968 25452 50904 98377 196754 295131 393508 590262 688639 787016 885393 1180524 1377278 1770786 2065917 2361048 2754556 3541572 4131834 5509112 6197751 7083144 8263668 9936077 12395502 16527336 19872154 24791004 29808231 39744308 49582008 59616462 69552539 79488616 89424693 119232924 139105078 178849386 208657617 238465848 278210156 357698772 417315234 556420312 625972851 715397544 834630468 1251945702 1669260936 2503891404 5007782808