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5164896 = 253116773
BaseRepresentation
bin10011101100111101100000
3100201101220110
4103230331200
52310234041
6302411320
761621002
oct23547540
910641813
105164896
112a08510
121890b40
1310bab69
14986372
156c0516
hex4ecf60

5164896 has 96 divisors (see below), whose sum is σ = 15216768. Its totient is φ = 1520640.

The previous prime is 5164853. The next prime is 5164897. The reversal of 5164896 is 6984615.

5164896 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×51648963 (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5164897) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70716 + ... + 70788.

It is an arithmetic number, because the mean of its divisors is an integer number (158508).

Almost surely, 25164896 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 5164896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7608384).

5164896 is an abundant number, since it is smaller than the sum of its proper divisors (10051872).

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

5164896 is a wasteful number, since it uses less digits than its factorization.

5164896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 156 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 5164896 is about 2272.6407547169. The cubic root of 5164896 is about 172.8570884762.

The spelling of 5164896 in words is "five million, one hundred sixty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 67 73 88 96 132 134 146 176 201 219 264 268 292 352 402 438 528 536 584 737 803 804 876 1056 1072 1168 1474 1606 1608 1752 2144 2211 2336 2409 2948 3212 3216 3504 4422 4818 4891 5896 6424 6432 7008 8844 9636 9782 11792 12848 14673 17688 19272 19564 23584 25696 29346 35376 38544 39128 53801 58692 70752 77088 78256 107602 117384 156512 161403 215204 234768 322806 430408 469536 645612 860816 1291224 1721632 2582448 5164896