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5378128 = 247311549
BaseRepresentation
bin10100100001000001010000
3101010020101221
4110201001100
52334100003
6311134424
763466450
oct24410120
911106357
105378128
113043738
121974414
131163c32
149ddd60
157137bd
hex521050

5378128 has 40 divisors (see below), whose sum is σ = 12300800. Its totient is φ = 2229120.

The previous prime is 5378119. The next prime is 5378143. The reversal of 5378128 is 8218735.

It is a junction number, because it is equal to n+sod(n) for n = 5378093 and 5378102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2698 + ... + 4246.

It is an arithmetic number, because the mean of its divisors is an integer number (307520).

Almost surely, 25378128 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 5378128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6150400).

5378128 is an abundant number, since it is smaller than the sum of its proper divisors (6922672).

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

5378128 is a wasteful number, since it uses less digits than its factorization.

5378128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1589 counting only the distinct ones).

The product of its digits is 13440, while the sum is 34.

The square root of 5378128 is about 2319.0791275849. The cubic root of 5378128 is about 175.2038766752.

The spelling of 5378128 in words is "five million, three hundred seventy-eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 868 1549 1736 3098 3472 6196 10843 12392 21686 24784 43372 48019 86744 96038 173488 192076 336133 384152 672266 768304 1344532 2689064 5378128