Search a number
-
+
8030448 = 243329641
BaseRepresentation
bin11110101000100011110000
3120002222201000
4132220203300
54023433243
6444042000
7125154246
oct36504360
916088630
108030448
114595438
122833300
13188225a
1410d0796
15a895d3
hex7a88f0

8030448 has 80 divisors (see below), whose sum is σ = 23882400. Its totient is φ = 2580480.

The previous prime is 8030441. The next prime is 8030461. The reversal of 8030448 is 8440308.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8030441) by changing a digit.

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, 12208 + ... + 12848.

It is an arithmetic number, because the mean of its divisors is an integer number (298530).

Almost surely, 28030448 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 8030448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11941200).

8030448 is an abundant number, since it is smaller than the sum of its proper divisors (15851952).

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

8030448 is a wasteful number, since it uses less digits than its factorization.

8030448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 8030448 is about 2833.8045098418. The cubic root of 8030448 is about 200.2534121092.

The spelling of 8030448 in words is "eight million, thirty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 348 432 464 522 641 696 783 1044 1282 1392 1566 1923 2088 2564 3132 3846 4176 5128 5769 6264 7692 10256 11538 12528 15384 17307 18589 23076 30768 34614 37178 46152 55767 69228 74356 92304 111534 138456 148712 167301 223068 276912 297424 334602 446136 501903 669204 892272 1003806 1338408 2007612 2676816 4015224 8030448