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857288080 = 245117113721
BaseRepresentation
bin110011000110010…
…010110110010000
32012202010202011101
4303012102312100
53223431204310
6221022354144
730146554105
oct6306226620
92182122141
10857288080
113aaa0a250
121bb12b954
131087c066c
1481bdcaac
15503e143a
hex33192d90

857288080 has 80 divisors (see below), whose sum is σ = 2205180288. Its totient is φ = 307328000.

The previous prime is 857288071. The next prime is 857288099. The reversal of 857288080 is 80882758.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×8572880802 = 1469885704220172800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 857288080.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55620 + ... + 69340.

Almost surely, 2857288080 is an apocalyptic number.

857288080 is a gapful number since it is divisible by the number (80) 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 857288080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102590144).

857288080 is an abundant number, since it is smaller than the sum of its proper divisors (1347892208).

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

857288080 is a wasteful number, since it uses less digits than its factorization.

857288080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13816 (or 13810 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 46.

The square root of 857288080 is about 29279.4822358593. The cubic root of 857288080 is about 949.9678954986.

The spelling of 857288080 in words is "eight hundred fifty-seven million, two hundred eighty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 71 80 88 110 142 176 220 284 355 440 568 710 781 880 1136 1420 1562 2840 3124 3905 5680 6248 7810 12496 13721 15620 27442 31240 54884 62480 68605 109768 137210 150931 219536 274420 301862 548840 603724 754655 974191 1097680 1207448 1509310 1948382 2414896 3018620 3896764 4870955 6037240 7793528 9741910 10716101 12074480 15587056 19483820 21432202 38967640 42864404 53580505 77935280 85728808 107161010 171457616 214322020 428644040 857288080