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5085168 = 243119631
BaseRepresentation
bin10011011001011111110000
3100120100112120
4103121133300
52300211133
6300554240
761136364
oct23313760
910510476
105085168
112963620
121852980
13109079a
149652a4
156a6ab3
hex4d97f0

5085168 has 40 divisors (see below), whose sum is σ = 14332416. Its totient is φ = 1540800.

The previous prime is 5085167. The next prime is 5085187. The reversal of 5085168 is 8615805.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5085167) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4288 + ... + 5343.

Almost surely, 25085168 is an apocalyptic number.

It is an amenable number.

5085168 is an abundant number, since it is smaller than the sum of its proper divisors (9247248).

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

5085168 is a wasteful number, since it uses less digits than its factorization.

5085168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9653 (or 9647 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The square root of 5085168 is about 2255.0317070942. The cubic root of 5085168 is about 171.9630351427.

It can be divided in two parts, 5085 and 168, that added together give a triangular number (5253 = T102).

The spelling of 5085168 in words is "five million, eighty-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 9631 19262 28893 38524 57786 77048 105941 115572 154096 211882 231144 317823 423764 462288 635646 847528 1271292 1695056 2542584 5085168