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3895632 = 2432132081
BaseRepresentation
bin1110110111000101010000
321022220210200
432313011100
51444130012
6215255200
745053346
oct16670520
97286720
103895632
112220934
12137a500
13a65210
14735996
1551e3dc
hex3b7150

3895632 has 60 divisors (see below), whose sum is σ = 11746644. Its totient is φ = 1198080.

The previous prime is 3895603. The next prime is 3895667. The reversal of 3895632 is 2365983.

3895632 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 992016 + 2903616 = 996^2 + 1704^2 .

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

It is a d-powerful number, because it can be written as 310 + 87 + 93 + 5 + 68 + 310 + 25 .

It is a nialpdrome in base 13.

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 11 ways as a sum of consecutive naturals, for example, 832 + ... + 2912.

Almost surely, 23895632 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 3895632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5873322).

3895632 is an abundant number, since it is smaller than the sum of its proper divisors (7851012).

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

3895632 is a wasteful number, since it uses less digits than its factorization.

3895632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2108 (or 2099 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 3895632 is about 1973.7355445956. The cubic root of 3895632 is about 157.3473047697.

The spelling of 3895632 in words is "three million, eight hundred ninety-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 2081 4162 6243 8324 12486 16648 18729 24972 27053 33296 37458 49944 54106 74916 81159 99888 108212 149832 162318 216424 243477 299664 324636 432848 486954 649272 973908 1298544 1947816 3895632