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3855072 = 253133089
BaseRepresentation
bin1110101101001011100000
321020212011110
432231023200
51441330242
6214343320
744524164
oct16551340
97225143
103855072
1121a3411
12135ab40
13a4c910
14724ca4
1551239c
hex3ad2e0

3855072 has 48 divisors (see below), whose sum is σ = 10901520. Its totient is φ = 1185792.

The previous prime is 3855041. The next prime is 3855083. The reversal of 3855072 is 2705583.

It is a happy number.

3855072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 297 + ... + 2792.

It is an arithmetic number, because the mean of its divisors is an integer number (227115).

Almost surely, 23855072 is an apocalyptic number.

3855072 is a gapful number since it is divisible by the number (32) 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 3855072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5450760).

3855072 is an abundant number, since it is smaller than the sum of its proper divisors (7046448).

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

3855072 is a wasteful number, since it uses less digits than its factorization.

3855072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3115 (or 3107 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 3855072 is about 1963.4337269182. The cubic root of 3855072 is about 156.7993162541.

The spelling of 3855072 in words is "three million, eight hundred fifty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 3089 6178 9267 12356 18534 24712 37068 40157 49424 74136 80314 98848 120471 148272 160628 240942 296544 321256 481884 642512 963768 1285024 1927536 3855072