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997000000 = 2656997
BaseRepresentation
bin111011011011010…
…000001101000000
32120111000211212221
4323123100031000
54020213000000
6242533100424
733464234353
oct7333201500
92514024787
10997000000
11471864947
12239a87714
1312b729839
14965aa29a
155c7dc61a
hex3b6d0340

997000000 has 98 divisors (see below), whose sum is σ = 2475476126. Its totient is φ = 398400000.

The previous prime is 996999989. The next prime is 997000007. The reversal of 997000000 is 799.

It can be written as a sum of positive squares in 7 ways, for example, as 968952384 + 28047616 = 31128^2 + 5296^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 999502 + ... + 1000498.

Almost surely, 2997000000 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 997000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237738063).

997000000 is an abundant number, since it is smaller than the sum of its proper divisors (1478476126).

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

997000000 is an frugal number, since it uses more digits than its factorization.

997000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 567, while the sum is 25.

The square root of 997000000 is about 31575.3068076939. The cubic root of 997000000 is about 998.9989983300.

Adding to 997000000 its reverse (799), we get a palindrome (997000799).

The spelling of 997000000 in words is "nine hundred ninety-seven million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 997 1000 1250 1600 1994 2000 2500 3125 3988 4000 4985 5000 6250 7976 8000 9970 10000 12500 15625 15952 19940 20000 24925 25000 31250 31904 39880 40000 49850 50000 62500 63808 79760 99700 100000 124625 125000 159520 199400 200000 249250 250000 319040 398800 498500 500000 623125 797600 997000 1000000 1246250 1595200 1994000 2492500 3115625 3988000 4985000 6231250 7976000 9970000 12462500 15578125 19940000 24925000 31156250 39880000 49850000 62312500 99700000 124625000 199400000 249250000 498500000 997000000