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806188932 = 2232476173107
BaseRepresentation
bin110000000011010…
…111011110000100
32002011222122022100
4300003113132010
53122341021212
6211555232100
725656331023
oct6003273604
92064878270
10806188932
1138408874a
121a5ba8630
13cb03bb93
14790da8ba
154ab9abdc
hex300d7784

806188932 has 144 divisors (see below), whose sum is σ = 2164361472. Its totient is φ = 252771840.

The previous prime is 806188919. The next prime is 806188937. The reversal of 806188932 is 239881608.

It is not an unprimeable number, because it can be changed into a prime (806188937) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 7534423 + ... + 7534529.

It is an arithmetic number, because the mean of its divisors is an integer number (15030288).

Almost surely, 2806188932 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 806188932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082180736).

806188932 is an abundant number, since it is smaller than the sum of its proper divisors (1358172540).

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

806188932 is a wasteful number, since it uses less digits than its factorization.

806188932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 806188932 is about 28393.4663611191. The cubic root of 806188932 is about 930.7054931239.

The spelling of 806188932 in words is "eight hundred six million, one hundred eighty-eight thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 47 61 73 94 107 122 141 146 183 188 214 219 244 282 292 321 366 423 428 438 549 564 642 657 732 846 876 963 1098 1284 1314 1692 1926 2196 2628 2867 3431 3852 4453 5029 5734 6527 6862 7811 8601 8906 10058 10293 11468 13054 13359 13724 15087 15622 17202 17812 19581 20116 20586 23433 25803 26108 26718 30174 30879 31244 34404 39162 40077 41172 45261 46866 51606 53436 58743 60348 61758 70299 78324 80154 90522 93732 103212 117486 123516 140598 160308 181044 209291 234972 281196 306769 367117 418582 476471 613538 627873 734234 837164 920307 952942 1101351 1227076 1255746 1429413 1468468 1840614 1883619 1905884 2202702 2511492 2760921 2858826 3304053 3681228 3767238 4288239 4405404 5521842 5717652 6608106 7534476 8576478 11043684 13216212 17152956 22394137 44788274 67182411 89576548 134364822 201547233 268729644 403094466 806188932