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197433048 = 233312631009
BaseRepresentation
bin10111100010010…
…01011011011000
3111202111122020010
423301021123120
5401020324143
631331401520
74615103361
oct1361113330
9452448203
10197433048
11a149a40a
12561532a0
1331b98ab7
141c314b68
15124eda33
hexbc496d8

197433048 has 64 divisors (see below), whose sum is σ = 511948800. Its totient is φ = 63383040.

The previous prime is 197433043. The next prime is 197433077. The reversal of 197433048 is 840334791.

197433048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 197432997 and 197433015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197433043) 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, 195168 + ... + 196176.

It is an arithmetic number, because the mean of its divisors is an integer number (7999200).

Almost surely, 2197433048 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 197433048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255974400).

197433048 is an abundant number, since it is smaller than the sum of its proper divisors (314515752).

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

197433048 is a wasteful number, since it uses less digits than its factorization.

197433048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 197433048 is about 14051.0870753832. The cubic root of 197433048 is about 582.2908290093.

It can be divided in two parts, 19743 and 3048, that added together give a triangular number (22791 = T213).

The spelling of 197433048 in words is "one hundred ninety-seven million, four hundred thirty-three thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 263 372 526 744 789 1009 1052 1578 2018 2104 3027 3156 4036 6054 6312 8072 8153 12108 16306 24216 24459 31279 32612 48918 62558 65224 93837 97836 125116 187674 195672 250232 265367 375348 530734 750696 796101 1061468 1592202 2122936 3184404 6368808 8226377 16452754 24679131 32905508 49358262 65811016 98716524 197433048