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850014172 = 2272193137199
BaseRepresentation
bin110010101010100…
…010111111011100
32012020110012020101
4302222202333130
53220100423142
6220202430444
730031000300
oct6252427734
92166405211
10850014172
113a68a1257
121b8802424
13107144887
1480c67d00
154e9560b7
hex32aa2fdc

850014172 has 144 divisors (see below), whose sum is σ = 1940736000. Its totient is φ = 323326080.

The previous prime is 850014163. The next prime is 850014241. The reversal of 850014172 is 271410058.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 850014172.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4271329 + ... + 4271527.

Almost surely, 2850014172 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 850014172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970368000).

850014172 is an abundant number, since it is smaller than the sum of its proper divisors (1090721828).

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

850014172 is a wasteful number, since it uses less digits than its factorization.

850014172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 850014172 is about 29155.0025210083. The cubic root of 850014172 is about 947.2735017392.

The spelling of 850014172 in words is "eight hundred fifty million, fourteen thousand, one hundred seventy-two".

Divisors: 1 2 4 7 14 19 28 31 37 38 49 62 74 76 98 124 133 148 196 199 217 259 266 398 434 518 532 589 703 796 868 931 1036 1147 1178 1393 1406 1519 1813 1862 2294 2356 2786 2812 3038 3626 3724 3781 4123 4588 4921 5572 6076 6169 7252 7363 7562 8029 8246 9751 9842 12338 14726 15124 16058 16492 19502 19684 21793 24676 26467 28861 29452 32116 34447 39004 43183 43586 51541 52934 56203 57722 68894 86366 87172 103082 105868 112406 115444 117211 137788 139897 152551 172732 185269 206164 224812 228253 234422 279794 302281 305102 360787 370538 456506 468844 559588 604562 610204 721574 741076 820477 913012 979279 1067857 1209124 1443148 1597771 1640954 1958558 2135714 3195542 3281908 3917116 4271428 4336807 5743339 6391084 6854953 8673614 11184397 11486678 13709906 17347228 22368794 22973356 27419812 30357649 44737588 60715298 121430596 212503543 425007086 850014172