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195493344 = 25319710337
BaseRepresentation
bin10111010011011…
…11110111100000
3111121212002110020
423221233313200
5400021241334
631222033440
74562444304
oct1351576740
9447762406
10195493344
11a0395052
1255578880
1331669c47
141bd6bd04
1512268e49
hexba6fde0

195493344 has 48 divisors (see below), whose sum is σ = 515824848. Its totient is φ = 64827392.

The previous prime is 195493339. The next prime is 195493369. The reversal of 195493344 is 443394591.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 195493296 and 195493305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13744 + ... + 24080.

It is an arithmetic number, because the mean of its divisors is an integer number (10746351).

Almost surely, 2195493344 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 195493344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257912424).

195493344 is an abundant number, since it is smaller than the sum of its proper divisors (320331504).

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

195493344 is a wasteful number, since it uses less digits than its factorization.

195493344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10547 (or 10539 counting only the distinct ones).

The product of its digits is 233280, while the sum is 42.

The square root of 195493344 is about 13981.8934340096. The cubic root of 195493344 is about 580.3776217057.

The spelling of 195493344 in words is "one hundred ninety-five million, four hundred ninety-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 197 394 591 788 1182 1576 2364 3152 4728 6304 9456 10337 18912 20674 31011 41348 62022 82696 124044 165392 248088 330784 496176 992352 2036389 4072778 6109167 8145556 12218334 16291112 24436668 32582224 48873336 65164448 97746672 195493344