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992429172 = 22347467937
BaseRepresentation
bin111011001001110…
…100010001110100
32120011102121220000
4323021310101310
54013030213142
6242251111300
733410336340
oct7311642164
92504377800
10992429172
1146a2227a9
12238442530
1312a7b91c7
1495b3a620
155c1d814c
hex3b274474

992429172 has 120 divisors (see below), whose sum is σ = 2974555584. Its totient is φ = 282642048.

The previous prime is 992429161. The next prime is 992429177. The reversal of 992429172 is 271924299.

992429172 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9924291722 = 1969831322873211168, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (992429177) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1058688 + ... + 1059624.

Almost surely, 2992429172 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 992429172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487277792).

992429172 is an abundant number, since it is smaller than the sum of its proper divisors (1982126412).

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

992429172 is a wasteful number, since it uses less digits than its factorization.

992429172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1416 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 992429172 is about 31502.8438716253. The cubic root of 992429172 is about 997.4699951402.

The spelling of 992429172 in words is "nine hundred ninety-two million, four hundred twenty-nine thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 467 567 756 934 937 1134 1401 1868 1874 2268 2802 2811 3269 3748 4203 5604 5622 6538 6559 8406 8433 9807 11244 12609 13076 13118 16812 16866 19614 19677 25218 25299 26236 29421 33732 37827 39228 39354 50436 50598 58842 59031 75654 75897 78708 88263 101196 117684 118062 151308 151794 176526 177093 236124 264789 303588 353052 354186 437579 529578 531279 708372 875158 1059156 1062558 1312737 1750316 2125116 2625474 3063053 3938211 5250948 6126106 7876422 9189159 11814633 12252212 15752844 18378318 23629266 27567477 35443899 36756636 47258532 55134954 70887798 82702431 110269908 141775596 165404862 248107293 330809724 496214586 992429172