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193939650 = 23352197561
BaseRepresentation
bin10111000111101…
…00100011000010
3111111221011012000
423203310203002
5344122032100
631124444430
74543313502
oct1343644302
9444834160
10193939650
119a523803
1254b49716
13312449b8
141ba85a02
151205d900
hexb8f48c2

193939650 has 96 divisors (see below), whose sum is σ = 562612800. Its totient is φ = 48988800.

The previous prime is 193939639. The next prime is 193939663. The reversal of 193939650 is 56939391.

It is a super-2 number, since 2×1939396502 = 75225175684245000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 193939596 and 193939605.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 21870 + ... + 29430.

It is an arithmetic number, because the mean of its divisors is an integer number (5860550).

Almost surely, 2193939650 is an apocalyptic number.

193939650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 193939650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281306400).

193939650 is an abundant number, since it is smaller than the sum of its proper divisors (368673150).

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

193939650 is a wasteful number, since it uses less digits than its factorization.

193939650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7601 (or 7590 counting only the distinct ones).

The product of its (nonzero) digits is 196830, while the sum is 45.

The square root of 193939650 is about 13926.2216699290. The cubic root of 193939650 is about 578.8360028434.

The spelling of 193939650 in words is "one hundred ninety-three million, nine hundred thirty-nine thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 27 30 38 45 50 54 57 75 90 95 114 135 150 171 190 225 270 285 342 450 475 513 570 675 855 950 1026 1350 1425 1710 2565 2850 4275 5130 7561 8550 12825 15122 22683 25650 37805 45366 68049 75610 113415 136098 143659 189025 204147 226830 287318 340245 378050 408294 430977 567075 680490 718295 861954 1020735 1134150 1292931 1436590 1701225 2041470 2154885 2585862 3402450 3591475 3878793 4309770 5103675 6464655 7182950 7757586 10207350 10774425 12929310 19393965 21548850 32323275 38787930 64646550 96969825 193939650