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858125142 = 232724212311
BaseRepresentation
bin110011001001011…
…111001101010110
32012210201021101200
4303021133031112
53224140001032
6221052333330
730156641400
oct6311371526
92183637350
10858125142
11400431136
121bb474246
13108a24674
1481d79b70
155050947c
hex3325f356

858125142 has 72 divisors (see below), whose sum is σ = 2168901072. Its totient is φ = 244490400.

The previous prime is 858125141. The next prime is 858125143. The reversal of 858125142 is 241521858.

It is an interprime number because it is at equal distance from previous prime (858125141) and next prime (858125143).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 858125097 and 858125106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (858125141) 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 35 ways as a sum of consecutive naturals, for example, 370167 + ... + 372477.

It is an arithmetic number, because the mean of its divisors is an integer number (30123626).

Almost surely, 2858125142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 858125142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084450536).

858125142 is an abundant number, since it is smaller than the sum of its proper divisors (1310775930).

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

858125142 is a wasteful number, since it uses less digits than its factorization.

858125142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754 (or 2744 counting only the distinct ones).

The product of its digits is 25600, while the sum is 36.

The square root of 858125142 is about 29293.7730925874. The cubic root of 858125142 is about 950.2769799936.

The spelling of 858125142 in words is "eight hundred fifty-eight million, one hundred twenty-five thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 421 441 842 882 1263 2311 2526 2947 3789 4622 5894 6933 7578 8841 13866 16177 17682 20629 20799 26523 32354 41258 41598 48531 53046 61887 97062 113239 123774 145593 185661 226478 291186 339717 371322 679434 972931 1019151 1945862 2038302 2918793 5837586 6810517 8756379 13621034 17512758 20431551 40863102 47673619 61294653 95347238 122589306 143020857 286041714 429062571 858125142