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4072448 = 2104197
BaseRepresentation
bin1111100010010000000000
321122220100102
433202100000
52020304243
6223141532
746421012
oct17422000
97586312
104072448
112331766
1214448a8
13ac7843
147801b2
155569b8
hex3e2400

4072448 has 44 divisors (see below), whose sum is σ = 8425452. Its totient is φ = 1966080.

The previous prime is 4072447. The next prime is 4072457. The reversal of 4072448 is 8442704.

It can be written as a sum of positive squares in 2 ways, for example, as 861184 + 3211264 = 928^2 + 1792^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4072448.

It is not an unprimeable number, because it can be changed into a prime (4072447) 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 3 ways as a sum of consecutive naturals, for example, 41936 + ... + 42032.

Almost surely, 24072448 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 4072448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4212726).

4072448 is an abundant number, since it is smaller than the sum of its proper divisors (4353004).

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

4072448 is an equidigital number, since it uses as much as digits as its factorization.

4072448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 29.

The square root of 4072448 is about 2018.0307232547. The cubic root of 4072448 is about 159.6927436707.

The spelling of 4072448 in words is "four million, seventy-two thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 32 41 64 82 97 128 164 194 256 328 388 512 656 776 1024 1312 1552 2624 3104 3977 5248 6208 7954 10496 12416 15908 20992 24832 31816 41984 49664 63632 99328 127264 254528 509056 1018112 2036224 4072448