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195472256 = 2771741313
BaseRepresentation
bin10111010011010…
…10101110000000
3111121211000112012
423221222232000
5400020103011
631221352052
74562325650
oct1351525600
9447730465
10195472256
11a0380221
1255568628
1331660475
141bd64360
1512262a8b
hexba6ab80

195472256 has 128 divisors (see below), whose sum is σ = 484263360. Its totient is φ = 76677120.

The previous prime is 195472237. The next prime is 195472261. The reversal of 195472256 is 652274591.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (41).

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 15 ways as a sum of consecutive naturals, for example, 624356 + ... + 624668.

Almost surely, 2195472256 is an apocalyptic number.

195472256 is a gapful number since it is divisible by the number (16) 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 195472256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242131680).

195472256 is an abundant number, since it is smaller than the sum of its proper divisors (288791104).

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

195472256 is a wasteful number, since it uses less digits than its factorization.

195472256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 380 counting only the distinct ones).

The product of its digits is 151200, while the sum is 41.

The square root of 195472256 is about 13981.1392954938. The cubic root of 195472256 is about 580.3567523790.

The spelling of 195472256 in words is "one hundred ninety-five million, four hundred seventy-two thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 41 56 64 68 82 112 119 128 136 164 224 238 272 287 313 328 448 476 544 574 626 656 697 896 952 1088 1148 1252 1312 1394 1904 2176 2191 2296 2504 2624 2788 3808 4382 4592 4879 5008 5248 5321 5576 7616 8764 9184 9758 10016 10642 11152 12833 15232 17528 18368 19516 20032 21284 22304 25666 35056 36736 37247 39032 40064 42568 44608 51332 70112 74494 78064 85136 89216 89831 102664 140224 148988 156128 170272 179662 205328 218161 280448 297976 312256 340544 359324 410656 436322 595952 624512 681088 718648 821312 872644 1191904 1437296 1527127 1642624 1745288 2383808 2874592 3054254 3490576 4767616 5749184 6108508 6981152 11498368 12217016 13962304 24434032 27924608 48868064 97736128 195472256