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858912096 = 253711311311
BaseRepresentation
bin110011001100011…
…111010101100000
32012212012020220010
4303030133111200
53224340141341
6221121244520
730166426620
oct6314372540
92185166803
10858912096
11400919409
121bb793740
13108c3b913
1482102880
1550612716
hex3331f560

858912096 has 96 divisors (see below), whose sum is σ = 2599769088. Its totient is φ = 243210240.

The previous prime is 858912091. The next prime is 858912101. The reversal of 858912096 is 690219858.

It is a happy number.

858912096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (858912091) and next prime (858912101).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×8589120962 = 1475459977310226432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (858912091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70281 + ... + 81591.

It is an arithmetic number, because the mean of its divisors is an integer number (27080928).

Almost surely, 2858912096 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 858912096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299884544).

858912096 is an abundant number, since it is smaller than the sum of its proper divisors (1740856992).

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

858912096 is a wasteful number, since it uses less digits than its factorization.

858912096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11444 (or 11436 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The square root of 858912096 is about 29307.2021182507. The cubic root of 858912096 is about 950.5673788915.

The spelling of 858912096 in words is "eight hundred fifty-eight million, nine hundred twelve thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 113 168 224 226 336 339 452 672 678 791 904 1356 1582 1808 2373 2712 3164 3616 4746 5424 6328 9492 10848 11311 12656 18984 22622 25312 33933 37968 45244 67866 75936 79177 90488 135732 158354 180976 237531 271464 316708 361952 475062 542928 633416 950124 1085856 1266832 1278143 1900248 2533664 2556286 3800496 3834429 5112572 7600992 7668858 8947001 10225144 15337716 17894002 20450288 26841003 30675432 35788004 40900576 53682006 61350864 71576008 107364012 122701728 143152016 214728024 286304032 429456048 858912096