Search a number
-
+
9914752 = 27292671
BaseRepresentation
bin100101110100…
…100110000000
3200122201111001
4211310212000
510014233002
6552301344
7150162661
oct45644600
920581431
109914752
115662111
1233a1854
132091b23
141461368
15d0ca87
hex974980

9914752 has 32 divisors (see below), whose sum is σ = 20440800. Its totient is φ = 4784640.

The previous prime is 9914747. The next prime is 9914759. The reversal of 9914752 is 2574199.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9914759) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2377 + ... + 5047.

It is an arithmetic number, because the mean of its divisors is an integer number (638775).

Almost surely, 29914752 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 9914752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10220400).

9914752 is an abundant number, since it is smaller than the sum of its proper divisors (10526048).

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

9914752 is a wasteful number, since it uses less digits than its factorization.

9914752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2714 (or 2702 counting only the distinct ones).

The product of its digits is 22680, while the sum is 37.

The square root of 9914752 is about 3148.7699185555. The cubic root of 9914752 is about 214.8295169163.

It can be divided in two parts, 99147 and 52, that added together give a palindrome (99199).

The spelling of 9914752 in words is "nine million, nine hundred fourteen thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1856 2671 3712 5342 10684 21368 42736 77459 85472 154918 170944 309836 341888 619672 1239344 2478688 4957376 9914752