Search a number
-
+
9914292 = 2233412239
BaseRepresentation
bin100101110100…
…011110110100
3200122200212000
4211310132310
510014224132
6552255300
7150161433
oct45643664
920580760
109914292
115661833
1233a1530
13209185b
14146111a
15d0c87c
hex9747b4

9914292 has 48 divisors (see below), whose sum is σ = 26342400. Its totient is φ = 3222720.

The previous prime is 9914287. The next prime is 9914297. The reversal of 9914292 is 2924199.

It is an interprime number because it is at equal distance from previous prime (9914287) and next prime (9914297).

It is a super-2 number, since 2×99142922 = 196586371722528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9914297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3309 + ... + 5547.

It is an arithmetic number, because the mean of its divisors is an integer number (548800).

Almost surely, 29914292 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 9914292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13171200).

9914292 is an abundant number, since it is smaller than the sum of its proper divisors (16428108).

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

9914292 is a wasteful number, since it uses less digits than its factorization.

9914292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2293 (or 2285 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 9914292 is about 3148.6968733112. The cubic root of 9914292 is about 214.8261944897.

The spelling of 9914292 in words is "nine million, nine hundred fourteen thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 738 1107 1476 2214 2239 4428 4478 6717 8956 13434 20151 26868 40302 60453 80604 91799 120906 183598 241812 275397 367196 550794 826191 1101588 1652382 2478573 3304764 4957146 9914292