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5135144 = 237107857
BaseRepresentation
bin10011100101101100101000
3100122220002112
4103211230220
52303311034
6302021452
761435160
oct23455450
910586075
105135144
112998123
121877888
1310aa461
149795a0
156b67ce
hex4e5b28

5135144 has 32 divisors (see below), whose sum is σ = 11119680. Its totient is φ = 2177664.

The previous prime is 5135131. The next prime is 5135147. The reversal of 5135144 is 4415315.

It is not an unprimeable number, because it can be changed into a prime (5135147) 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, 5564 + ... + 6420.

It is an arithmetic number, because the mean of its divisors is an integer number (347490).

Almost surely, 25135144 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 5135144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5559840).

5135144 is an abundant number, since it is smaller than the sum of its proper divisors (5984536).

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

5135144 is a wasteful number, since it uses less digits than its factorization.

5135144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 973 counting only the distinct ones).

The product of its digits is 1200, while the sum is 23.

The square root of 5135144 is about 2266.0856117985. The cubic root of 5135144 is about 172.5245389721.

The spelling of 5135144 in words is "five million, one hundred thirty-five thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 107 214 428 749 856 857 1498 1714 2996 3428 5992 5999 6856 11998 23996 47992 91699 183398 366796 641893 733592 1283786 2567572 5135144