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5378048 = 21213101
BaseRepresentation
bin10100100001000000000000
3101010020021222
4110201000000
52334044143
6311134212
763466304
oct24410000
911106258
105378048
113043675
121974368
131163ba0
149ddd04
15713768
hex521000

5378048 has 52 divisors (see below), whose sum is σ = 11696748. Its totient is φ = 2457600.

The previous prime is 5378033. The next prime is 5378057. The reversal of 5378048 is 8408735.

It can be written as a sum of positive squares in 2 ways, for example, as 3211264 + 2166784 = 1792^2 + 1472^2 .

It is a tau number, because it is divible by the number of its divisors (52).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 5377999 and 5378017.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53198 + ... + 53298.

Almost surely, 25378048 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 5378048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5848374).

5378048 is an abundant number, since it is smaller than the sum of its proper divisors (6318700).

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

5378048 is a wasteful number, since it uses less digits than its factorization.

5378048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 5378048 is about 2319.0618792952. The cubic root of 5378048 is about 175.2030079479.

The spelling of 5378048 in words is "five million, three hundred seventy-eight thousand, forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 101 104 128 202 208 256 404 416 512 808 832 1024 1313 1616 1664 2048 2626 3232 3328 4096 5252 6464 6656 10504 12928 13312 21008 25856 26624 42016 51712 53248 84032 103424 168064 206848 336128 413696 672256 1344512 2689024 5378048