Search a number
-
+
9992000 = 26531249
BaseRepresentation
bin100110000111…
…011101000000
3200210122110002
4212013131000
510024221000
6554055132
7150634124
oct46073500
920718402
109992000
115705157
12341a4a8
1320bb035
141481584
15d258d5
hex987740

9992000 has 56 divisors (see below), whose sum is σ = 24765000. Its totient is φ = 3993600.

The previous prime is 9991997. The next prime is 9992009. The reversal of 9992000 is 2999.

It can be written as a sum of positive squares in 4 ways, for example, as 652864 + 9339136 = 808^2 + 3056^2 .

It is a nialpdrome in base 10 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9992009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7376 + ... + 8624.

Almost surely, 29992000 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 9992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12382500).

9992000 is an abundant number, since it is smaller than the sum of its proper divisors (14773000).

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

9992000 is a wasteful number, since it uses less digits than its factorization.

9992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 29.

The square root of 9992000 is about 3161.0124960209. The cubic root of 9992000 is about 215.3860020842.

Adding to 9992000 its reverse (2999), we get a palindrome (9994999).

The spelling of 9992000 in words is "nine million, nine hundred ninety-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1249 1600 2000 2498 4000 4996 6245 8000 9992 12490 19984 24980 31225 39968 49960 62450 79936 99920 124900 156125 199840 249800 312250 399680 499600 624500 999200 1249000 1998400 2498000 4996000 9992000