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4890662608 = 241333732
BaseRepresentation
bin1001000111000000…
…11001011011010000
3110121211122101212011
410203200121123100
540004002200413
62125143512304
7232123642366
oct44340313320
913554571764
104890662608
11208a719227
12b45a58694
135cc2c9000
1434575d636
151d955a33d
hex1238196d0

4890662608 has 60 divisors (see below), whose sum is σ = 10292531340. Its totient is φ = 2251177344.

The previous prime is 4890662599. The next prime is 4890662639. The reversal of 4890662608 is 8062660984.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 3166087824 + 1724574784 = 56268^2 + 41528^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 13111510 + ... + 13111882.

It is an arithmetic number, because the mean of its divisors is an integer number (171542189).

Almost surely, 24890662608 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 4890662608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5146265670).

4890662608 is an abundant number, since it is smaller than the sum of its proper divisors (5401868732).

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

4890662608 is an frugal number, since it uses more digits than its factorization.

4890662608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 49.

The square root of 4890662608 is about 69933.2725388995. The cubic root of 4890662608 is about 1697.4196850347.

The spelling of 4890662608 in words is "four billion, eight hundred ninety million, six hundred sixty-two thousand, six hundred eight".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 373 676 746 1352 1492 2197 2704 2984 4394 4849 5968 8788 9698 17576 19396 35152 38792 63037 77584 126074 139129 252148 278258 504296 556516 819481 1008592 1113032 1638962 1808677 2226064 3277924 3617354 6555848 7234708 13111696 14469416 23512801 28938832 47025602 94051204 188102408 305666413 376204816 611332826 1222665652 2445331304 4890662608