Search a number
-
+
3803824 = 24317669
BaseRepresentation
bin1110100000101010110000
321011020212101
432200222300
51433210244
6213310144
744221603
oct16405260
97136771
103803824
112168962
121335354
13a324ab
1471033a
155020d4
hex3a0ab0

3803824 has 20 divisors (see below), whose sum is σ = 7608640. Its totient is φ = 1840320.

The previous prime is 3803797. The next prime is 3803827. The reversal of 3803824 is 4283083.

3803824 is an admirable number.

It is a super-5 number, since 5×38038245 (a number of 34 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3803792 and 3803801.

It is not an unprimeable number, because it can be changed into a prime (3803827) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3339 + ... + 4330.

It is an arithmetic number, because the mean of its divisors is an integer number (380432).

Almost surely, 23803824 is an apocalyptic number.

It is an amenable number.

3803824 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

3803824 is a wasteful number, since it uses less digits than its factorization.

3803824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7708 (or 7702 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 3803824 is about 1950.3394576330. The cubic root of 3803824 is about 156.1014024048.

The spelling of 3803824 in words is "three million, eight hundred three thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 31 62 124 248 496 7669 15338 30676 61352 122704 237739 475478 950956 1901912 3803824