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5136048 = 24351321
BaseRepresentation
bin10011100101111010110000
3100122221100000
4103211322300
52303323143
6302030000
761440621
oct23457260
910587300
105136048
112998875
121878300
1310aa9a8
14979a48
156b6bd3
hex4e5eb0

5136048 has 60 divisors (see below), whose sum is σ = 14917448. Its totient is φ = 1710720.

The previous prime is 5136041. The next prime is 5136067. The reversal of 5136048 is 8406315.

5136048 is a `hidden beast` number, since 51 + 3 + 604 + 8 = 666.

5136048 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5136041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3228 + ... + 4548.

Almost surely, 25136048 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 5136048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7458724).

5136048 is an abundant number, since it is smaller than the sum of its proper divisors (9781400).

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

5136048 is a wasteful number, since it uses less digits than its factorization.

5136048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5136048 is about 2266.2850659173. The cubic root of 5136048 is about 172.5346622216.

It can be divided in two parts, 513 and 6048, that added together give a 8-th power (6561 = 38).

The spelling of 5136048 in words is "five million, one hundred thirty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1321 1944 2642 3888 3963 5284 7926 10568 11889 15852 21136 23778 31704 35667 47556 63408 71334 95112 107001 142668 190224 214002 285336 321003 428004 570672 642006 856008 1284012 1712016 2568024 5136048