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795768468 = 2231129474423
BaseRepresentation
bin101111011011100…
…111011010010100
32001110101020010020
4233123213122110
53112204042333
6210544025140
725501630455
oct5733473224
92043336106
10795768468
113792106a0
121a26021b0
13c8b30b21
147798712c
1549cdd3b3
hex2f6e7694

795768468 has 96 divisors (see below), whose sum is σ = 2140508160. Its totient is φ = 227821440.

The previous prime is 795768437. The next prime is 795768499. The reversal of 795768468 is 864867597.

It is an interprime number because it is at equal distance from previous prime (795768437) and next prime (795768499).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177705 + ... + 182127.

It is an arithmetic number, because the mean of its divisors is an integer number (22296960).

Almost surely, 2795768468 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 795768468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070254080).

795768468 is an abundant number, since it is smaller than the sum of its proper divisors (1344739692).

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

795768468 is a wasteful number, since it uses less digits than its factorization.

795768468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4517 (or 4515 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 60.

The square root of 795768468 is about 28209.3684438344. The cubic root of 795768468 is about 926.6781197510.

The spelling of 795768468 in words is "seven hundred ninety-five million, seven hundred sixty-eight thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 47 58 66 87 94 116 132 141 174 188 282 319 348 517 564 638 957 1034 1276 1363 1551 1914 2068 2726 3102 3828 4089 4423 5452 6204 8178 8846 13269 14993 16356 17692 26538 29986 44979 48653 53076 59972 89958 97306 128267 145959 179916 194612 207881 256534 291918 384801 415762 513068 583836 623643 769602 831524 1247286 1410937 1539204 2286691 2494572 2821874 4232811 4573382 5643748 6028549 6860073 8465622 9146764 12057098 13720146 16931244 18085647 24114196 27440292 36171294 66314039 72342588 132628078 198942117 265256156 397884234 795768468