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992130944 = 27723311553
BaseRepresentation
bin111011001000101…
…011011110000000
32120010212110210112
4323020223132000
54012441142234
6242240450452
733404655020
oct7310533600
92503773715
10992130944
1146a039732
12238319a28
1312a71353c
1495a9da80
155c179ace
hex3b22b780

992130944 has 128 divisors (see below), whose sum is σ = 2434682880. Its totient is φ = 393338880.

The previous prime is 992130941. The next prime is 992130947. The reversal of 992130944 is 449031299.

It is an interprime number because it is at equal distance from previous prime (992130941) and next prime (992130947).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×9921309442 = 1968647620084662272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (992130941) 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, 638072 + ... + 639624.

It is an arithmetic number, because the mean of its divisors is an integer number (19020960).

Almost surely, 2992130944 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 992130944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217341440).

992130944 is an abundant number, since it is smaller than the sum of its proper divisors (1442551936).

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

992130944 is a wasteful number, since it uses less digits than its factorization.

992130944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 41.

The square root of 992130944 is about 31498.1101655322. The cubic root of 992130944 is about 997.3700708694.

The spelling of 992130944 in words is "nine hundred ninety-two million, one hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 23 28 31 32 46 56 62 64 92 112 124 128 161 184 217 224 248 322 368 434 448 496 644 713 736 868 896 992 1288 1426 1472 1553 1736 1984 2576 2852 2944 3106 3472 3968 4991 5152 5704 6212 6944 9982 10304 10871 11408 12424 13888 19964 20608 21742 22816 24848 27776 35719 39928 43484 45632 48143 49696 71438 79856 86968 91264 96286 99392 142876 159712 173936 192572 198784 250033 285752 319424 337001 347872 385144 500066 571504 638848 674002 695744 770288 1000132 1107289 1143008 1348004 1391488 1540576 2000264 2214578 2286016 2696008 3081152 4000528 4429156 4572032 5392016 6162304 7751023 8001056 8858312 10784032 15502046 16002112 17716624 21568064 31004092 32004224 35433248 43136128 62008184 70866496 124016368 141732992 248032736 496065472 992130944