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3859072 = 2775973
BaseRepresentation
bin1110101110001010000000
321021001122121
432232022000
51441442242
6214414024
744541640
oct16561200
97231577
103859072
1121a6418
121361314
13a51699
14726520
15513667
hex3ae280

3859072 has 64 divisors (see below), whose sum is σ = 9057600. Its totient is φ = 1603584.

The previous prime is 3859067. The next prime is 3859073. The reversal of 3859072 is 2709583.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (3859073) 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, 52828 + ... + 52900.

It is an arithmetic number, because the mean of its divisors is an integer number (141525).

Almost surely, 23859072 is an apocalyptic number.

3859072 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 3859072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4528800).

3859072 is an abundant number, since it is smaller than the sum of its proper divisors (5198528).

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

3859072 is an equidigital number, since it uses as much as digits as its factorization.

3859072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 3859072 is about 1964.4520864608. The cubic root of 3859072 is about 156.8535288572.

The spelling of 3859072 in words is "three million, eight hundred fifty-nine thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 64 73 112 118 128 146 224 236 292 413 448 472 511 584 826 896 944 1022 1168 1652 1888 2044 2336 3304 3776 4088 4307 4672 6608 7552 8176 8614 9344 13216 16352 17228 26432 30149 32704 34456 52864 60298 65408 68912 120596 137824 241192 275648 482384 551296 964768 1929536 3859072