Search a number
-
+
195028768 = 2511319241
BaseRepresentation
bin10111001111111…
…10011100100000
3111120222111011201
423213332130200
5344411410033
631204050544
74555500664
oct1347763440
9446874151
10195028768
11a00a8000
1255393a54
133153664c
141bc8a8a4
15121c647d
hexb9fe720

195028768 has 96 divisors (see below), whose sum is σ = 446402880. Its totient is φ = 83635200.

The previous prime is 195028727. The next prime is 195028783. The reversal of 195028768 is 867820591.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 809128 + ... + 809368.

It is an arithmetic number, because the mean of its divisors is an integer number (4650030).

Almost surely, 2195028768 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 195028768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223201440).

195028768 is an abundant number, since it is smaller than the sum of its proper divisors (251374112).

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

195028768 is a wasteful number, since it uses less digits than its factorization.

195028768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 46.

The square root of 195028768 is about 13965.2700654158. The cubic root of 195028768 is about 579.9175150238.

The spelling of 195028768 in words is "one hundred ninety-five million, twenty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 121 152 176 209 241 242 304 352 418 482 484 608 836 964 968 1331 1672 1928 1936 2299 2651 2662 3344 3856 3872 4579 4598 5302 5324 6688 7712 9158 9196 10604 10648 18316 18392 21208 21296 25289 29161 36632 36784 42416 42592 50369 50578 58322 73264 73568 84832 100738 101156 116644 146528 201476 202312 233288 320771 402952 404624 466576 554059 641542 805904 809248 933152 1108118 1283084 1611808 2216236 2566168 4432472 5132336 6094649 8864944 10264672 12189298 17729888 24378596 48757192 97514384 195028768