Search a number
-
+
858070444 = 2271117295651
BaseRepresentation
bin110011001001010…
…001110110101100
32012210121111100211
4303021101312230
53224131223234
6221051232204
730156323050
oct6311216654
92183544324
10858070444
114003a4030
121bb448664
13108a057ba
1481d63c60
15504e8164
hex33251dac

858070444 has 96 divisors (see below), whose sum is σ = 2050997760. Its totient is φ = 303744000.

The previous prime is 858070417. The next prime is 858070481. The reversal of 858070444 is 444070858.

858070444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 858070397 and 858070406.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149019 + ... + 154669.

It is an arithmetic number, because the mean of its divisors is an integer number (21364560).

Almost surely, 2858070444 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 858070444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025498880).

858070444 is an abundant number, since it is smaller than the sum of its proper divisors (1192927316).

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

858070444 is a wasteful number, since it uses less digits than its factorization.

858070444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5719 (or 5717 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 40.

The square root of 858070444 is about 29292.8394663269. The cubic root of 858070444 is about 950.2567889390.

The spelling of 858070444 in words is "eight hundred fifty-eight million, seventy thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 14 17 22 28 29 34 44 58 68 77 116 119 154 187 203 238 308 319 374 406 476 493 638 748 812 986 1276 1309 1972 2233 2618 3451 4466 5236 5423 5651 6902 8932 10846 11302 13804 21692 22604 37961 39557 62161 75922 79114 96067 124322 151844 158228 163879 192134 248644 327758 384268 435127 655516 672469 870254 1056737 1147153 1344938 1740508 1802669 2113474 2294306 2689876 2785943 3605338 4226948 4588612 5571886 7210676 7397159 11143772 12618683 14794318 19501601 25237366 29588636 30645373 39003202 50474732 61290746 78006404 122581492 214517611 429035222 858070444