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842568804 = 223471133773
BaseRepresentation
bin110010001110001…
…001010001100100
32011201102221010000
4302032021101210
53211144200204
6215335101300
726610500550
oct6216112144
92151387100
10842568804
113a2676460
121b6211830
13105738a2c
147dc8a860
154de85039
hex32389464

842568804 has 120 divisors (see below), whose sum is σ = 2746231488. Its totient is φ = 218842560.

The previous prime is 842568799. The next prime is 842568827. The reversal of 842568804 is 408865248.

842568804 is a `hidden beast` number, since 8 + 4 + 2 + 568 + 80 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 842568804.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8062 + ... + 41834.

Almost surely, 2842568804 is an apocalyptic number.

842568804 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 842568804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373115744).

842568804 is an abundant number, since it is smaller than the sum of its proper divisors (1903662684).

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

842568804 is a wasteful number, since it uses less digits than its factorization.

842568804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33807 (or 33796 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 842568804 is about 29027.0357425625. The cubic root of 842568804 is about 944.4996292840.

The spelling of 842568804 in words is "eight hundred forty-two million, five hundred sixty-eight thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 81 84 99 108 126 132 154 162 189 198 231 252 297 308 324 378 396 462 567 594 693 756 891 924 1134 1188 1386 1782 2079 2268 2772 3564 4158 6237 8316 12474 24948 33773 67546 101319 135092 202638 236411 303957 371503 405276 472822 607914 709233 743006 911871 945644 1114509 1215828 1418466 1486012 1823742 2127699 2229018 2600521 2735613 2836932 3343527 3647484 4255398 4458036 5201042 5471226 6383097 6687054 7801563 8510796 10030581 10402084 10942452 12766194 13374108 15603126 19149291 20061162 23404689 25532388 30091743 31206252 38298582 40122324 46809378 60183486 70214067 76597164 93618756 120366972 140428134 210642201 280856268 421284402 842568804