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5116128 = 253137389
BaseRepresentation
bin10011100001000011100000
3100121221000020
4103201003200
52302204003
6301353440
761325553
oct23410340
910557006
105116128
112984906
121868880
1310a18c4
1497269a
156b0d53
hex4e10e0

5116128 has 48 divisors (see below), whose sum is σ = 13562640. Its totient is φ = 1688576.

The previous prime is 5116127. The next prime is 5116141. The reversal of 5116128 is 8216115.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 5116098 and 5116107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5116123) 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, 12958 + ... + 13346.

It is an arithmetic number, because the mean of its divisors is an integer number (282555).

Almost surely, 25116128 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 5116128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6781320).

5116128 is an abundant number, since it is smaller than the sum of its proper divisors (8446512).

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

5116128 is a wasteful number, since it uses less digits than its factorization.

5116128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 531 counting only the distinct ones).

The product of its digits is 480, while the sum is 24.

The square root of 5116128 is about 2261.8859387688. The cubic root of 5116128 is about 172.3113164792.

The spelling of 5116128 in words is "five million, one hundred sixteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 137 274 389 411 548 778 822 1096 1167 1556 1644 2192 2334 3112 3288 4384 4668 6224 6576 9336 12448 13152 18672 37344 53293 106586 159879 213172 319758 426344 639516 852688 1279032 1705376 2558064 5116128