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706466892 = 2231719253181
BaseRepresentation
bin101010000110111…
…101010001001100
31211020100020101110
4222012331101030
52421323420032
6154034012020
723335604145
oct5206752114
91736306343
10706466892
1133286703a
12178717010
13b3494a61
1469b7cacc
154204d7cc
hex2a1bd44c

706466892 has 144 divisors (see below), whose sum is σ = 1887211872. Its totient is φ = 204871680.

The previous prime is 706466857. The next prime is 706466923. The reversal of 706466892 is 298664607.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3903042 + ... + 3903222.

It is an arithmetic number, because the mean of its divisors is an integer number (13105638).

Almost surely, 2706466892 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 706466892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943605936).

706466892 is an abundant number, since it is smaller than the sum of its proper divisors (1180744980).

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

706466892 is a wasteful number, since it uses less digits than its factorization.

706466892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 706466892 is about 26579.4449151972. Note that the first 3 decimals coincide. The cubic root of 706466892 is about 890.6299004175.

The spelling of 706466892 in words is "seven hundred six million, four hundred sixty-six thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 53 57 68 76 102 106 114 159 181 204 212 228 318 323 361 362 543 636 646 722 724 901 969 1007 1083 1086 1292 1444 1802 1938 2014 2166 2172 2703 3021 3077 3439 3604 3876 4028 4332 5406 6042 6137 6154 6878 9231 9593 10317 10812 12084 12274 12308 13756 17119 18411 18462 19133 19186 20634 24548 28779 34238 36822 36924 38266 38372 41268 51357 57399 57558 58463 65341 68476 73644 76532 102714 114798 115116 116926 130682 163081 175389 182267 196023 205428 229596 233852 261364 325261 326162 350778 364534 392046 489243 546801 650522 652324 701556 729068 784092 975783 978486 1093602 1110797 1301044 1951566 1956972 2187204 2221594 3098539 3332391 3463073 3903132 4443188 6197078 6664782 6926146 9295617 10389219 12394156 13329564 13852292 18591234 20778438 37182468 41556876 58872241 117744482 176616723 235488964 353233446 706466892