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3858048 = 273217197
BaseRepresentation
bin1110101101111010000000
321021000020200
432231322000
51441424143
6214405200
744535645
oct16557200
97230220
103858048
1121a5677
121360800
13a5108c
14725dcc
155131d3
hex3ade80

3858048 has 96 divisors (see below), whose sum is σ = 11814660. Its totient is φ = 1204224.

The previous prime is 3858037. The next prime is 3858053. The reversal of 3858048 is 8408583.

3858048 is a `hidden beast` number, since 38 + 580 + 48 = 666.

3858048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3069504 + 788544 = 1752^2 + 888^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19486 + ... + 19682.

Almost surely, 23858048 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 3858048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5907330).

3858048 is an abundant number, since it is smaller than the sum of its proper divisors (7956612).

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

3858048 is a wasteful number, since it uses less digits than its factorization.

3858048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 3858048 is about 1964.1914366986. The cubic root of 3858048 is about 156.8396539997.

The spelling of 3858048 in words is "three million, eight hundred fifty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 197 204 272 288 306 384 394 408 544 576 591 612 788 816 1088 1152 1182 1224 1576 1632 1773 2176 2364 2448 3152 3264 3349 3546 4728 4896 6304 6528 6698 7092 9456 9792 10047 12608 13396 14184 18912 19584 20094 25216 26792 28368 30141 37824 40188 53584 56736 60282 75648 80376 107168 113472 120564 160752 214336 226944 241128 321504 428672 482256 643008 964512 1286016 1929024 3858048