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5138896 = 247172699
BaseRepresentation
bin10011100110100111010000
3100200002020111
4103212213100
52303421041
6302051104
761452130
oct23464720
910602214
105138896
11299aa24
121879a94
1310ac089
1497aac0
156b7981
hex4e69d0

5138896 has 40 divisors (see below), whose sum is σ = 12052800. Its totient is φ = 2072064.

The previous prime is 5138891. The next prime is 5138923. The reversal of 5138896 is 6988315.

It is a happy number.

5138896 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5138891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 555 + ... + 3253.

It is an arithmetic number, because the mean of its divisors is an integer number (301320).

Almost surely, 25138896 is an apocalyptic number.

5138896 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5138896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6026400).

5138896 is an abundant number, since it is smaller than the sum of its proper divisors (6913904).

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

5138896 is a wasteful number, since it uses less digits than its factorization.

5138896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2731 (or 2725 counting only the distinct ones).

The product of its digits is 51840, while the sum is 40.

The square root of 5138896 is about 2266.9133199132. The cubic root of 5138896 is about 172.5665471729.

It can be divided in two parts, 513 and 8896, that added together give a square (9409 = 972).

The spelling of 5138896 in words is "five million, one hundred thirty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1904 2699 5398 10796 18893 21592 37786 43184 45883 75572 91766 151144 183532 302288 321181 367064 642362 734128 1284724 2569448 5138896