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855638016 = 224317
BaseRepresentation
bin110011000000000…
…000000000000000
32012122000220200220
4303000000000000
53223020404031
6220523143040
730126542322
oct6300000000
92178026626
10855638016
113a9a92562
121ba674a80
131083635ac
14818cd612
15501b7596
hex33000000

855638016 has 100 divisors (see below), whose sum is σ = 2415919032. Its totient is φ = 268435456.

The previous prime is 855637957. The next prime is 855638023. The reversal of 855638016 is 610836558.

It is a nialpdrome in base 8 and base 16.

It is a zygodrome in base 2 and base 16.

It is an unprimeable number.

In principle, a polygon with 855638016 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50331640 + ... + 50331656.

Almost surely, 2855638016 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 855638016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207959516).

855638016 is an abundant number, since it is smaller than the sum of its proper divisors (1560281016).

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

855638016 is an frugal number, since it uses more digits than its factorization.

855638016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 855638016 is about 29251.2908433115. The cubic root of 855638016 is about 949.3580209321.

The spelling of 855638016 in words is "eight hundred fifty-five million, six hundred thirty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1536 1632 2048 2176 3072 3264 4096 4352 6144 6528 8192 8704 12288 13056 16384 17408 24576 26112 32768 34816 49152 52224 65536 69632 98304 104448 131072 139264 196608 208896 262144 278528 393216 417792 524288 557056 786432 835584 1048576 1114112 1572864 1671168 2097152 2228224 3145728 3342336 4194304 4456448 6291456 6684672 8388608 8912896 12582912 13369344 16777216 17825792 25165824 26738688 35651584 50331648 53477376 71303168 106954752 142606336 213909504 285212672 427819008 855638016