Search a number
-
+
997444096 = 29112931197
BaseRepresentation
bin111011011100111…
…100101000000000
32120111212102001221
4323130330220000
54020321202341
6242550404424
733501064165
oct7334745000
92514772057
10997444096
11472038570
1223a060714
1312b853a0c
149668406c
155c878ed1
hex3b73ca00

997444096 has 160 divisors (see below), whose sum is σ = 2333422080. Its totient is φ = 421478400.

The previous prime is 997444081. The next prime is 997444099. The reversal of 997444096 is 690444799.

It is a happy number.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (997444099) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5063070 + ... + 5063266.

It is an arithmetic number, because the mean of its divisors is an integer number (14583888).

Almost surely, 2997444096 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 997444096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166711040).

997444096 is an abundant number, since it is smaller than the sum of its proper divisors (1335977984).

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

997444096 is a wasteful number, since it uses less digits than its factorization.

997444096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 52.

The square root of 997444096 is about 31582.3383554796. The cubic root of 997444096 is about 999.1473051181.

The spelling of 997444096 in words is "nine hundred ninety-seven million, four hundred forty-four thousand, ninety-six".

Divisors: 1 2 4 8 11 16 22 29 31 32 44 58 62 64 88 116 124 128 176 197 232 248 256 319 341 352 394 464 496 512 638 682 704 788 899 928 992 1276 1364 1408 1576 1798 1856 1984 2167 2552 2728 2816 3152 3596 3712 3968 4334 5104 5456 5632 5713 6107 6304 7192 7424 7936 8668 9889 10208 10912 11426 12214 12608 14384 14848 15872 17336 19778 20416 21824 22852 24428 25216 28768 34672 39556 40832 43648 45704 48856 50432 57536 62843 67177 69344 79112 81664 87296 91408 97712 100864 115072 125686 134354 138688 158224 163328 174592 177103 182816 195424 230144 251372 268708 277376 316448 354206 365632 390848 460288 502744 537416 554752 632896 708412 731264 781696 1005488 1074832 1109504 1265792 1416824 1462528 1563392 1948133 2010976 2149664 2531584 2833648 2925056 3126784 3896266 4021952 4299328 5063168 5667296 7792532 8043904 8598656 11334592 15585064 16087808 17197312 22669184 31170128 32175616 34394624 45338368 62340256 90676736 124680512 249361024 498722048 997444096