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858093144 = 233318912959
BaseRepresentation
bin110011001001010…
…111011001011000
32012210122122111120
4303021113121120
53224132440034
6221051525240
730156446166
oct6311273130
92183578446
10858093144
1140040a097
121bb459820
13108a12c2c
1481d6c236
15504eec49
hex33257658

858093144 has 64 divisors (see below), whose sum is σ = 2239488000. Its totient is φ = 273672960.

The previous prime is 858093121. The next prime is 858093157. The reversal of 858093144 is 441390858.

858093144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×8580931443 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 858093096 and 858093105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59737 + ... + 72695.

It is an arithmetic number, because the mean of its divisors is an integer number (34992000).

Almost surely, 2858093144 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 858093144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119744000).

858093144 is an abundant number, since it is smaller than the sum of its proper divisors (1381394856).

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

858093144 is a wasteful number, since it uses less digits than its factorization.

858093144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13088 (or 13084 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 858093144 is about 29293.2269304698. The cubic root of 858093144 is about 950.2651684527.

The spelling of 858093144 in words is "eight hundred fifty-eight million, ninety-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 89 93 124 178 186 248 267 356 372 534 712 744 1068 2136 2759 5518 8277 11036 12959 16554 22072 25918 33108 38877 51836 66216 77754 103672 155508 311016 401729 803458 1153351 1205187 1606916 2306702 2410374 3213832 3460053 4613404 4820748 6920106 9226808 9641496 13840212 27680424 35753881 71507762 107261643 143015524 214523286 286031048 429046572 858093144