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3856032 = 25334463
BaseRepresentation
bin1110101101011010100000
321020220111000
432231122200
51441343112
6214352000
744530035
oct16553240
97226430
103856032
1121a4104
12135b600
13a5019b
1472538c
155127dc
hex3ad6a0

3856032 has 48 divisors (see below), whose sum is σ = 11249280. Its totient is φ = 1285056.

The previous prime is 3856007. The next prime is 3856033. The reversal of 3856032 is 2306583.

3856032 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 Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3855987 and 3856005.

It is not an unprimeable number, because it can be changed into a prime (3856033) by changing a digit.

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, 1368 + ... + 3095.

It is an arithmetic number, because the mean of its divisors is an integer number (234360).

Almost surely, 23856032 is an apocalyptic number.

3856032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3856032 is an abundant number, since it is smaller than the sum of its proper divisors (7393248).

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

3856032 is a wasteful number, since it uses less digits than its factorization.

3856032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4482 (or 4468 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3856032 is about 1963.6781813729. The cubic root of 3856032 is about 156.8123306977.

The spelling of 3856032 in words is "three million, eight hundred fifty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 4463 8926 13389 17852 26778 35704 40167 53556 71408 80334 107112 120501 142816 160668 214224 241002 321336 428448 482004 642672 964008 1285344 1928016 3856032