Search a number
-
+
195923448 = 2334747919
BaseRepresentation
bin10111010110110…
…00110111111000
3111122122221110000
423223120313320
5400124022243
631235153000
74566215250
oct1353306770
9448587400
10195923448
11a0659206
1255745760
133178a946
141c040960
15123015d3
hexbad8df8

195923448 has 160 divisors (see below), whose sum is σ = 641203200. Its totient is φ = 54727488.

The previous prime is 195923411. The next prime is 195923479. The reversal of 195923448 is 844329591.

195923448 is a `hidden beast` number, since 19 + 592 + 3 + 4 + 48 = 666.

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 39 ways as a sum of consecutive naturals, for example, 212733 + ... + 213651.

It is an arithmetic number, because the mean of its divisors is an integer number (4007520).

Almost surely, 2195923448 is an apocalyptic number.

195923448 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 195923448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320601600).

195923448 is an abundant number, since it is smaller than the sum of its proper divisors (445279752).

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

195923448 is a wasteful number, since it uses less digits than its factorization.

195923448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 978 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 195923448 is about 13997.2657329923. The cubic root of 195923448 is about 580.8029386505.

The spelling of 195923448 in words is "one hundred ninety-five million, nine hundred twenty-three thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 47 54 56 63 72 81 84 94 108 126 141 162 168 188 189 216 252 282 324 329 376 378 423 504 564 567 648 658 756 846 919 987 1128 1134 1269 1316 1512 1692 1838 1974 2268 2538 2632 2757 2961 3384 3676 3807 3948 4536 5076 5514 5922 6433 7352 7614 7896 8271 8883 10152 11028 11844 12866 15228 16542 17766 19299 22056 23688 24813 25732 26649 30456 33084 35532 38598 43193 49626 51464 53298 57897 66168 71064 74439 77196 86386 99252 106596 115794 129579 148878 154392 172772 173691 198504 213192 231588 259158 297756 302351 345544 347382 388737 463176 518316 521073 595512 604702 694764 777474 907053 1036632 1042146 1166211 1209404 1389528 1554948 1814106 2084292 2332422 2418808 2721159 3109896 3498633 3628212 4168584 4664844 5442318 6997266 7256424 8163477 9329688 10884636 13994532 16326954 21769272 24490431 27989064 32653908 48980862 65307816 97961724 195923448