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193873968 = 24328571571
BaseRepresentation
bin10111000111001…
…00100000110000
3111111210211002100
423203210200300
5344112431333
631123220400
74542621141
oct1343444060
9444724070
10193873968
119a489422
1254b17700
1331220b32
141ba69ac8
1512049213
hexb8e4830

193873968 has 60 divisors (see below), whose sum is σ = 543556728. Its totient is φ = 64508160.

The previous prime is 193873963. The next prime is 193873991. The reversal of 193873968 is 869378391.

It is not an unprimeable number, because it can be changed into a prime (193873963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122623 + ... + 124193.

Almost surely, 2193873968 is an apocalyptic number.

193873968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

193873968 is an abundant number, since it is smaller than the sum of its proper divisors (349682760).

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

193873968 is a wasteful number, since it uses less digits than its factorization.

193873968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2442 (or 2433 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 193873968 is about 13923.8632570131. The cubic root of 193873968 is about 578.7706502124.

The spelling of 193873968 in words is "one hundred ninety-three million, eight hundred seventy-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 857 1571 1714 2571 3142 3428 4713 5142 6284 6856 7713 9426 10284 12568 13712 14139 15426 18852 20568 25136 28278 30852 37704 41136 56556 61704 75408 113112 123408 226224 1346347 2692694 4039041 5385388 8078082 10770776 12117123 16156164 21541552 24234246 32312328 48468492 64624656 96936984 193873968