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802855053 = 3272111329439
BaseRepresentation
bin101111110110101…
…001100010001101
32001221201021002100
4233312221202031
53121012330203
6211355545313
725616104200
oct5766514215
92057637070
10802855053
11382210980
121a4a5b239
13ca442580
14788ad937
154a73cea3
hex2fda988d

802855053 has 144 divisors (see below), whose sum is σ = 1643241600. Its totient is φ = 370863360.

The previous prime is 802854973. The next prime is 802855063. The reversal of 802855053 is 350558208.

802855053 is a `hidden beast` number, since 80 + 28 + 550 + 5 + 3 = 666.

It is not a de Polignac number, because 802855053 - 28 = 802854797 is a prime.

It is a super-2 number, since 2×8028550532 = 1289152472255265618, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 802854999 and 802855017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802855063) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 1828608 + ... + 1829046.

It is an arithmetic number, because the mean of its divisors is an integer number (11411400).

Almost surely, 2802855053 is an apocalyptic number.

It is an amenable number.

802855053 is an abundant number, since it is smaller than the sum of its proper divisors (840386547).

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

802855053 is a wasteful number, since it uses less digits than its factorization.

802855053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 802855053 is about 28334.6969809102. The cubic root of 802855053 is about 929.4207874456.

The spelling of 802855053 in words is "eight hundred two million, eight hundred fifty-five thousand, fifty-three".

Divisors: 1 3 7 9 11 13 21 29 33 39 49 63 77 87 91 99 117 143 147 203 231 261 273 319 377 429 439 441 539 609 637 693 819 957 1001 1131 1287 1317 1421 1617 1827 1911 2233 2639 2871 3003 3073 3393 3951 4147 4263 4829 4851 5707 5733 6699 7007 7917 9009 9219 12441 12731 12789 14487 15631 17121 18473 20097 21021 21511 23751 27657 29029 33803 37323 38193 39949 43461 46893 51363 55419 62777 63063 64533 87087 89117 101409 114579 119847 140041 140679 165503 166257 188331 193599 203203 236621 261261 267351 279643 304227 359541 420123 439439 496509 564993 609609 623819 709863 802053 838929 980287 1158521 1260369 1318317 1489527 1820533 1828827 1871457 2129589 2516787 2940861 3076073 3475563 3954951 5461599 5614371 6862009 8109647 8822583 9228219 10426689 12743731 16384797 20586027 24328941 27684657 38231193 61758081 72986823 89206117 114693579 267618351 802855053