Search a number
-
+
992248512 = 26319326777
BaseRepresentation
bin111011001001001…
…000001011000000
32120011002110001220
4323021020023000
54013003423022
6242243155040
733405654543
oct7311101300
92504073056
10992248512
1146a109aa2
12238375a80
1312a754bc8
1495ad085a
155c19e85c
hex3b2482c0

992248512 has 56 divisors (see below), whose sum is σ = 2639025456. Its totient is φ = 329023488.

The previous prime is 992248507. The next prime is 992248513. The reversal of 992248512 is 215842299.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (992248513) 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, 23668 + ... + 50444.

Almost surely, 2992248512 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 992248512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319512728).

992248512 is an abundant number, since it is smaller than the sum of its proper divisors (1646776944).

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

992248512 is a wasteful number, since it uses less digits than its factorization.

992248512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26985 (or 26975 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 992248512 is about 31499.9763809435. The cubic root of 992248512 is about 997.4094655931.

The spelling of 992248512 in words is "nine hundred ninety-two million, two hundred forty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 193 386 579 772 1158 1544 2316 3088 4632 6176 9264 12352 18528 26777 37056 53554 80331 107108 160662 214216 321324 428432 642648 856864 1285296 1713728 2570592 5141184 5167961 10335922 15503883 20671844 31007766 41343688 62015532 82687376 124031064 165374752 248062128 330749504 496124256 992248512