Search a number
-
+
3973248 = 27323449
BaseRepresentation
bin1111001010000010000000
321110212021100
433022002000
52004120443
6221054400
745525546
oct17120200
97425240
103973248
112274184
1213b7400
13a91646
14755d96
155373d3
hex3ca080

3973248 has 48 divisors (see below), whose sum is σ = 11436750. Its totient is φ = 1324032.

The previous prime is 3973247. The next prime is 3973253. The reversal of 3973248 is 8423793.

It can be written as a sum of positive squares in only one way, i.e., 3968064 + 5184 = 1992^2 + 72^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (3973241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 573 + ... + 2876.

Almost surely, 23973248 is an apocalyptic number.

It is an amenable number.

3973248 is an abundant number, since it is smaller than the sum of its proper divisors (7463502).

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

3973248 is a wasteful number, since it uses less digits than its factorization.

3973248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3469 (or 3454 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 3973248 is about 1993.3007801132. The cubic root of 3973248 is about 158.3854287178.

The spelling of 3973248 in words is "three million, nine hundred seventy-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 3449 6898 10347 13796 20694 27592 31041 41388 55184 62082 82776 110368 124164 165552 220736 248328 331104 441472 496656 662208 993312 1324416 1986624 3973248