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5257168 = 24773643
BaseRepresentation
bin10100000011011111010000
3100220002110221
4110003133100
52321212133
6304402424
762454010
oct24033720
910802427
105257168
112a70874
121916414
131120b67
149abc40
156dca2d
hex5037d0

5257168 has 40 divisors (see below), whose sum is σ = 11818688. Its totient is φ = 2218752.

The previous prime is 5257159. The next prime is 5257169. The reversal of 5257168 is 8617525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5257169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7855 + ... + 8497.

Almost surely, 25257168 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 5257168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5909344).

5257168 is an abundant number, since it is smaller than the sum of its proper divisors (6561520).

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

5257168 is a wasteful number, since it uses less digits than its factorization.

5257168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 725 counting only the distinct ones).

The product of its digits is 16800, while the sum is 34.

The square root of 5257168 is about 2292.8514997705. The cubic root of 5257168 is about 173.8803951902.

The spelling of 5257168 in words is "five million, two hundred fifty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 73 112 146 292 511 584 643 1022 1168 1286 2044 2572 4088 4501 5144 8176 9002 10288 18004 36008 46939 72016 93878 187756 328573 375512 657146 751024 1314292 2628584 5257168