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857142864 = 24331092167
BaseRepresentation
bin110011000101101…
…111011001010000
32012201212100222000
4303011233121100
53223412032424
6221015314000
730145410534
oct6305573120
92181770860
10857142864
113aa920136
121bb07b900
1310876c536
1481ba1bc4
15503b33c9
hex3316f650

857142864 has 120 divisors (see below), whose sum is σ = 2497965120. Its totient is φ = 281397888.

The previous prime is 857142841. The next prime is 857142887. The reversal of 857142864 is 468241758.

857142864 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 (857142841) and next prime (857142887).

It is a super-2 number, since 2×8571428642 = 1469387778612244992, 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 23 ways as a sum of consecutive naturals, for example, 5132509 + ... + 5132675.

It is an arithmetic number, because the mean of its divisors is an integer number (20816376).

Almost surely, 2857142864 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 857142864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248982560).

857142864 is an abundant number, since it is smaller than the sum of its proper divisors (1640822256).

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

857142864 is a wasteful number, since it uses less digits than its factorization.

857142864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 281 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 857142864 is about 29277.0023055640. The cubic root of 857142864 is about 949.9142541261.

The spelling of 857142864 in words is "eight hundred fifty-seven million, one hundred forty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 109 144 167 216 218 327 334 432 436 501 654 668 872 981 1002 1308 1336 1503 1744 1962 2004 2616 2672 2943 3006 3924 4008 4509 5232 5886 6012 7848 8016 9018 11772 11881 12024 15696 18036 18203 23544 23762 24048 35643 36072 36406 47088 47524 54609 71286 72144 72812 95048 106929 109218 142572 145624 163827 190096 213858 218436 285144 291248 320787 327654 427716 436872 491481 570288 641574 655308 855432 873744 982962 1283148 1310616 1710864 1965924 1984127 2566296 2621232 3931848 3968254 5132592 5952381 7863696 7936508 11904762 15873016 17857143 23809524 31746032 35714286 47619048 53571429 71428572 95238096 107142858 142857144 214285716 285714288 428571432 857142864