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857600016 = 243713196337
BaseRepresentation
bin110011000111011…
…111000000010000
32012202201121001120
4303013133000100
53224021200031
6221033202240
730152323410
oct6307370020
92182647046
10857600016
11400102649
121bb260380
1310889c640
1481c80640
1550453a96
hex331df010

857600016 has 80 divisors (see below), whose sum is σ = 2726742144. Its totient is φ = 226179072.

The previous prime is 857599999. The next prime is 857600021. The reversal of 857600016 is 610006758.

It is a self number, because there is not a number n which added to its sum of digits gives 857600016.

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, 93801 + ... + 102536.

Almost surely, 2857600016 is an apocalyptic number.

It is an amenable number.

857600016 is an abundant number, since it is smaller than the sum of its proper divisors (1869142128).

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

857600016 is a wasteful number, since it uses less digits than its factorization.

857600016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196368 (or 196362 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 857600016 is about 29284.8086215362. The cubic root of 857600016 is about 950.0831011331.

The spelling of 857600016 in words is "eight hundred fifty-seven million, six hundred thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4368 196337 392674 589011 785348 1178022 1374359 1570696 2356044 2552381 2748718 3141392 4123077 4712088 5104762 5497436 7657143 8246154 9424176 10209524 10994872 15314286 16492308 17866667 20419048 21989744 30628572 32984616 35733334 40838096 53600001 61257144 65969232 71466668 107200002 122514288 142933336 214400004 285866672 428800008 857600016