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5207168 = 27172393
BaseRepresentation
bin10011110111010010000000
3100210112220002
4103313102000
52313112133
6303335132
762155151
oct23672200
910715802
105207168
112a3724a
1218b14a8
131104185
14997928
156ccce8
hex4f7480

5207168 has 32 divisors (see below), whose sum is σ = 10988460. Its totient is φ = 2449408.

The previous prime is 5207161. The next prime is 5207179. The reversal of 5207168 is 8617025.

It can be written as a sum of positive squares in 2 ways, for example, as 5053504 + 153664 = 2248^2 + 392^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×52071682 = 54229197160448, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5207168.

It is not an unprimeable number, because it can be changed into a prime (5207161) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 980 + ... + 3372.

Almost surely, 25207168 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 5207168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5494230).

5207168 is an abundant number, since it is smaller than the sum of its proper divisors (5781292).

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

5207168 is a wasteful number, since it uses less digits than its factorization.

5207168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2424 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 5207168 is about 2281.9219969140. The cubic root of 5207168 is about 173.3273896713.

The spelling of 5207168 in words is "five million, two hundred seven thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 2393 4786 9572 19144 38288 40681 76576 81362 153152 162724 306304 325448 650896 1301792 2603584 5207168