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195903968 = 2513736451
BaseRepresentation
bin10111010110101…
…00000111100000
3111122121221201112
423223110013200
5400122411333
631234522452
74566104411
oct1353240740
9448557645
10195903968
11a0645607
1255736428
1331781b10
141c037808
15122ea948
hexbad41e0

195903968 has 48 divisors (see below), whose sum is σ = 421109136. Its totient is φ = 89164800.

The previous prime is 195903947. The next prime is 195903979. The reversal of 195903968 is 869309591.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 27143 + ... + 33593.

It is an arithmetic number, because the mean of its divisors is an integer number (8773107).

Almost surely, 2195903968 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 195903968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210554568).

195903968 is an abundant number, since it is smaller than the sum of its proper divisors (225205168).

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

195903968 is a wasteful number, since it uses less digits than its factorization.

195903968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6547 (or 6539 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 50.

The square root of 195903968 is about 13996.5698655063. The cubic root of 195903968 is about 580.7836889276.

The spelling of 195903968 in words is "one hundred ninety-five million, nine hundred three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 73 104 146 208 292 416 584 949 1168 1898 2336 3796 6451 7592 12902 15184 25804 30368 51608 83863 103216 167726 206432 335452 470923 670904 941846 1341808 1883692 2683616 3767384 6121999 7534768 12243998 15069536 24487996 48975992 97951984 195903968