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3852408 = 233723997
BaseRepresentation
bin1110101100100001111000
321020201111210
432230201320
51441234113
6214323120
744513340
oct16544170
97221453
103852408
1121a140a
1213594a0
13a4b641
14723d20
155116c3
hex3ac878

3852408 has 64 divisors (see below), whose sum is σ = 11496960. Its totient is φ = 1051776.

The previous prime is 3852391. The next prime is 3852419. The reversal of 3852408 is 8042583.

3852408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 3366 + ... + 4362.

It is an arithmetic number, because the mean of its divisors is an integer number (179640).

Almost surely, 23852408 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 3852408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5748480).

3852408 is an abundant number, since it is smaller than the sum of its proper divisors (7644552).

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

3852408 is a wasteful number, since it uses less digits than its factorization.

3852408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 3852408 is about 1962.7552063362. The cubic root of 3852408 is about 156.7631898529.

The spelling of 3852408 in words is "three million, eight hundred fifty-two thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 552 644 966 997 1288 1932 1994 2991 3864 3988 5982 6979 7976 11964 13958 20937 22931 23928 27916 41874 45862 55832 68793 83748 91724 137586 160517 167496 183448 275172 321034 481551 550344 642068 963102 1284136 1926204 3852408