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197025768 = 233229127743
BaseRepresentation
bin10111011111001…
…01111111101000
3111201201221112200
423233211333220
5400414311033
631314540200
74611456102
oct1357457750
9451657480
10197025768
11a1241415
1255b97660
1331a855c4
141c24a572
151246d013
hexbbe5fe8

197025768 has 96 divisors (see below), whose sum is σ = 557107200. Its totient is φ = 62826624.

The previous prime is 197025757. The next prime is 197025769. The reversal of 197025768 is 867520791.

197025768 is a `hidden beast` number, since 1 + 9 + 70 + 2 + 576 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (197025769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264805 + ... + 265547.

It is an arithmetic number, because the mean of its divisors is an integer number (5803200).

Almost surely, 2197025768 is an apocalyptic number.

197025768 is a gapful number since it is divisible by the number (18) 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 197025768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278553600).

197025768 is an abundant number, since it is smaller than the sum of its proper divisors (360081432).

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

197025768 is a wasteful number, since it uses less digits than its factorization.

197025768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 197025768 is about 14036.5867645949. The cubic root of 197025768 is about 581.8901553422.

The spelling of 197025768 in words is "one hundred ninety-seven million, twenty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 127 174 232 254 261 348 381 508 522 696 743 762 1016 1044 1143 1486 1524 2088 2229 2286 2972 3048 3683 4458 4572 5944 6687 7366 8916 9144 11049 13374 14732 17832 21547 22098 26748 29464 33147 43094 44196 53496 64641 66294 86188 88392 94361 129282 132588 172376 188722 193923 258564 265176 283083 377444 387846 517128 566166 754888 775692 849249 1132332 1551384 1698498 2264664 2736469 3396996 5472938 6793992 8209407 10945876 16418814 21891752 24628221 32837628 49256442 65675256 98512884 197025768