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857686872 = 233741239521
BaseRepresentation
bin110011000111110…
…100001101011000
32012202220000012110
4303013310031120
53224031434442
6221035112320
730153134550
oct6307641530
92182800173
10857686872
11400161929
121bb2a26a0
13108900033
1481ca4160
155046e69c
hex331f4358

857686872 has 128 divisors (see below), whose sum is σ = 2525644800. Its totient is φ = 237619200.

The previous prime is 857686867. The next prime is 857686897. The reversal of 857686872 is 278686758.

It is a happy number.

857686872 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-2 number, since 2×8576868722 = 1471253540802288768, which contains 22 as substring.

It is a congruent number.

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, 1645972 + ... + 1646492.

It is an arithmetic number, because the mean of its divisors is an integer number (19731600).

Almost surely, 2857686872 is an apocalyptic number.

857686872 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 857686872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262822400).

857686872 is an abundant number, since it is smaller than the sum of its proper divisors (1667957928).

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

857686872 is a wasteful number, since it uses less digits than its factorization.

857686872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 813 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 57.

The square root of 857686872 is about 29286.2915371680. The cubic root of 857686872 is about 950.1151742172.

The spelling of 857686872 in words is "eight hundred fifty-seven million, six hundred eighty-six thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 82 84 123 164 168 239 246 287 328 478 492 521 574 717 861 956 984 1042 1148 1434 1563 1673 1722 1912 2084 2296 2868 3126 3346 3444 3647 4168 5019 5736 6252 6692 6888 7294 9799 10038 10941 12504 13384 14588 19598 20076 21361 21882 29176 29397 39196 40152 42722 43764 58794 64083 68593 78392 85444 87528 117588 124519 128166 137186 149527 170888 205779 235176 249038 256332 274372 299054 373557 411558 448581 498076 512664 548744 598108 747114 823116 871633 897162 996152 1196216 1494228 1646232 1743266 1794324 2614899 2988456 3486532 3588648 5105279 5229798 6973064 10210558 10459596 15315837 20421116 20919192 30631674 35736953 40842232 61263348 71473906 107210859 122526696 142947812 214421718 285895624 428843436 857686872