Search a number
-
+
3819472 = 242397107
BaseRepresentation
bin1110100100011111010000
321012001022221
432210133100
51434210342
6213510424
744315326
oct16443720
97161287
103819472
112179698
121342414
13a39657
14715d16
15506a67
hex3a47d0

3819472 has 40 divisors (see below), whose sum is σ = 7874496. Its totient is φ = 1790976.

The previous prime is 3819463. The next prime is 3819481. The reversal of 3819472 is 2749183.

3819472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3819463) and next prime (3819481).

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 7 ways as a sum of consecutive naturals, for example, 35643 + ... + 35749.

Almost surely, 23819472 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 3819472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3937248).

3819472 is an abundant number, since it is smaller than the sum of its proper divisors (4055024).

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

3819472 is a wasteful number, since it uses less digits than its factorization.

3819472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 229 counting only the distinct ones).

The product of its digits is 12096, while the sum is 34.

The square root of 3819472 is about 1954.3469497507. The cubic root of 3819472 is about 156.3151638597.

It can be divided in two parts, 38 and 19472, that multiplied together give a triangular number (739936 = T1216).

The spelling of 3819472 in words is "three million, eight hundred nineteen thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 23 46 92 97 107 184 194 214 368 388 428 776 856 1552 1712 2231 2461 4462 4922 8924 9844 10379 17848 19688 20758 35696 39376 41516 83032 166064 238717 477434 954868 1909736 3819472