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8106048 = 26334691
BaseRepresentation
bin11110111011000001000000
3120020211102000
4132323001000
54033343143
6445424000
7125620536
oct36730100
916224360
108106048
114637215
12286b000
1318aa7a2
141110156
15aa1bd3
hex7bb040

8106048 has 56 divisors (see below), whose sum is σ = 23835360. Its totient is φ = 2701440.

The previous prime is 8106041. The next prime is 8106053. The reversal of 8106048 is 8406018.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (8106041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 618 + ... + 4073.

Almost surely, 28106048 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 8106048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11917680).

8106048 is an abundant number, since it is smaller than the sum of its proper divisors (15729312).

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

8106048 is a wasteful number, since it uses less digits than its factorization.

8106048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4712 (or 4696 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8106048 is about 2847.1122211813. The cubic root of 8106048 is about 200.8798569162.

The spelling of 8106048 in words is "eight million, one hundred six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 4691 9382 14073 18764 28146 37528 42219 56292 75056 84438 112584 126657 150112 168876 225168 253314 300224 337752 450336 506628 675504 900672 1013256 1351008 2026512 2702016 4053024 8106048