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197981952 = 283725261
BaseRepresentation
bin10111100110011…
…11011100000000
3111210112112011220
423303033130000
5401140410302
631351235040
74622550600
oct1363173400
9453475156
10197981952
11a1834853
1256378a80
133202b8ac
141c418c00
15125ab4bc
hexbccf700

197981952 has 108 divisors (see below), whose sum is σ = 613065096. Its totient is φ = 56555520.

The previous prime is 197981941. The next prime is 197981969. The reversal of 197981952 is 259189791.

197981952 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 = 197981895 and 197981904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35002 + ... + 40262.

Almost surely, 2197981952 is an apocalyptic number.

197981952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197981952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306532548).

197981952 is an abundant number, since it is smaller than the sum of its proper divisors (415083144).

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

197981952 is an equidigital number, since it uses as much as digits as its factorization.

197981952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5294 (or 5273 counting only the distinct ones).

The product of its digits is 408240, while the sum is 51.

The square root of 197981952 is about 14070.6059571008. The cubic root of 197981952 is about 582.8299586377.

The spelling of 197981952 in words is "one hundred ninety-seven million, nine hundred eighty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 588 672 768 784 896 1176 1344 1568 1792 2352 2688 3136 4704 5261 5376 6272 9408 10522 12544 15783 18816 21044 31566 36827 37632 42088 63132 73654 84176 110481 126264 147308 168352 220962 252528 257789 294616 336704 441924 505056 515578 589232 673408 773367 883848 1010112 1031156 1178464 1346816 1546734 1767696 2020224 2062312 2356928 3093468 3535392 4040448 4124624 4713856 6186936 7070784 8249248 9427712 12373872 14141568 16498496 24747744 28283136 32996992 49495488 65993984 98990976 197981952