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3885520 = 245172857
BaseRepresentation
bin1110110100100111010000
321022101221011
432310213100
51443314040
6215140304
745012022
oct16644720
97271834
103885520
112214281
121374694
13a60732
14732012
1551b3ea
hex3b49d0

3885520 has 40 divisors (see below), whose sum is σ = 9568584. Its totient is φ = 1462272.

The previous prime is 3885499. The next prime is 3885521. The reversal of 3885520 is 255883.

3885520 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 4 ways, for example, as 1089936 + 2795584 = 1044^2 + 1672^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3885521) 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, 69 + ... + 2788.

Almost surely, 23885520 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 3885520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4784292).

3885520 is an abundant number, since it is smaller than the sum of its proper divisors (5683064).

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

3885520 is a wasteful number, since it uses less digits than its factorization.

3885520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2887 (or 2881 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 3885520 is about 1971.1722400643. The cubic root of 3885520 is about 157.2110432150.

It can be divided in two parts, 38 and 85520, that added together give a palindrome (85558).

The spelling of 3885520 in words is "three million, eight hundred eighty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 2857 5714 11428 14285 22856 28570 45712 48569 57140 97138 114280 194276 228560 242845 388552 485690 777104 971380 1942760 3885520