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197792946 = 232131018369
BaseRepresentation
bin10111100101000…
…01010010110010
3111210011220220200
423302201102302
5401113333241
631343220030
74621132551
oct1362412262
9453156820
10197792946
11a171584a
12562a7616
1331c93860
141c3a9d98
15125704b6
hexbca14b2

197792946 has 48 divisors (see below), whose sum is σ = 466142040. Its totient is φ = 60249600.

The previous prime is 197792941. The next prime is 197792951. The reversal of 197792946 is 649297791.

197792946 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (197792941) and next prime (197792951).

It can be written as a sum of positive squares in 4 ways, for example, as 191517921 + 6275025 = 13839^2 + 2505^2 .

It is a junction number, because it is equal to n+sod(n) for n = 197792892 and 197792901.

It is not an unprimeable number, because it can be changed into a prime (197792941) 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 23 ways as a sum of consecutive naturals, for example, 19450 + ... + 27818.

Almost surely, 2197792946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197792946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233071020).

197792946 is an abundant number, since it is smaller than the sum of its proper divisors (268349094).

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

197792946 is a wasteful number, since it uses less digits than its factorization.

197792946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8491 (or 8488 counting only the distinct ones).

The product of its digits is 1714608, while the sum is 54.

The square root of 197792946 is about 14063.8880114995. Note that the first 3 decimals coincide. The cubic root of 197792946 is about 582.6444308975.

The spelling of 197792946 in words is "one hundred ninety-seven million, seven hundred ninety-two thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 101 117 202 234 303 606 909 1313 1818 2626 3939 7878 8369 11817 16738 23634 25107 50214 75321 108797 150642 217594 326391 652782 845269 979173 1690538 1958346 2535807 5071614 7607421 10988497 15214842 21976994 32965491 65930982 98896473 197792946