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2858125536 = 253273673863
BaseRepresentation
bin1010101001011011…
…1000100011100000
321101012001211011100
42222112320203200
521323140004121
61151335314400
7130553444340
oct25226704340
97335054140
102858125536
111237379022
1267921ba00
1336719bc56
141d1834d20
1511adbc026
hexaa5b88e0

2858125536 has 144 divisors (see below), whose sum is σ = 9316629504. Its totient is φ = 814171392.

The previous prime is 2858125513. The next prime is 2858125547. The reversal of 2858125536 is 6355218582.

2858125536 is a `hidden beast` number, since 2 + 85 + 8 + 12 + 553 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 2858125491 and 2858125500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 737941 + ... + 741803.

It is an arithmetic number, because the mean of its divisors is an integer number (64698816).

Almost surely, 22858125536 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 2858125536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4658314752).

2858125536 is an abundant number, since it is smaller than the sum of its proper divisors (6458503968).

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

2858125536 is a wasteful number, since it uses less digits than its factorization.

2858125536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4253 (or 4242 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The square root of 2858125536 is about 53461.4397112536. The cubic root of 2858125536 is about 1419.1460739063.

The spelling of 2858125536 in words is "two billion, eight hundred fifty-eight million, one hundred twenty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 367 504 672 734 1008 1101 1468 2016 2202 2569 2936 3303 3863 4404 5138 5872 6606 7707 7726 8808 10276 11589 11744 13212 15414 15452 17616 20552 23121 23178 26424 27041 30828 30904 34767 35232 41104 46242 46356 52848 54082 61656 61808 69534 81123 82208 92484 92712 105696 108164 123312 123616 139068 162246 184968 185424 216328 243369 246624 278136 324492 369936 370848 432656 486738 556272 648984 739872 865312 973476 1112544 1297968 1417721 1946952 2595936 2835442 3893904 4253163 5670884 7787808 8506326 9924047 11341768 12759489 17012652 19848094 22683536 25518978 29772141 34025304 39696188 45367072 51037956 59544282 68050608 79392376 89316423 102075912 119088564 136101216 158784752 178632846 204151824 238177128 317569504 357265692 408303648 476354256 714531384 952708512 1429062768 2858125536