Search a number
-
+
992111344 = 24729476797
BaseRepresentation
bin111011001000100…
…110101011110000
32120010211110220121
4323020212223300
54012440030334
6242240220024
733404543620
oct7310465360
92503743817
10992111344
1146a025a34
1223830a614
1312a707643
1495a96880
155c173db4
hex3b226af0

992111344 has 160 divisors (see below), whose sum is σ = 2379847680. Its totient is φ = 391716864.

The previous prime is 992111333. The next prime is 992111357. The reversal of 992111344 is 443111299.

992111344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10227904 + ... + 10228000.

It is an arithmetic number, because the mean of its divisors is an integer number (14874048).

Almost surely, 2992111344 is an apocalyptic number.

992111344 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 992111344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189923840).

992111344 is an abundant number, since it is smaller than the sum of its proper divisors (1387736336).

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

992111344 is a wasteful number, since it uses less digits than its factorization.

992111344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 249 counting only the distinct ones).

The product of its digits is 7776, while the sum is 34.

The square root of 992111344 is about 31497.7990342182. The cubic root of 992111344 is about 997.3635029924.

The spelling of 992111344 in words is "nine hundred ninety-two million, one hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 29 47 56 58 67 94 97 112 116 134 188 194 203 232 268 329 376 388 406 464 469 536 658 679 752 776 812 938 1072 1316 1358 1363 1552 1624 1876 1943 2632 2716 2726 2813 3149 3248 3752 3886 4559 5264 5432 5452 5626 6298 6499 7504 7772 9118 9541 10864 10904 11252 12596 12998 13601 15544 18236 19082 19691 21808 22043 22504 25192 25996 27202 31088 31913 36472 38164 39382 44086 45008 45493 50384 51992 54404 63826 72944 76328 78764 88172 90986 91321 103984 108808 127652 132211 152656 157528 176344 181972 182642 188471 217616 255304 264422 305453 315056 352688 363944 365284 376942 510608 528844 610906 639247 727888 730568 753884 925477 1057688 1221812 1278494 1319297 1461136 1507768 1850954 2115376 2138171 2443624 2556988 2638594 3015536 3701908 4276342 4887248 5113976 5277188 7403816 8552684 8858137 10227952 10554376 14807632 17105368 17716274 21108752 34210736 35432548 62006959 70865096 124013918 141730192 248027836 496055672 992111344