Search a number
-
+
1024007444 = 221788117093
BaseRepresentation
bin111101000010010…
…001110100010100
32122100211222010122
4331002101310110
54044121214234
6245340011112
734242630305
oct7502216424
92570758118
101024007444
11486030a49
12246b30a98
131341c4685
1499dda7ac
155ed7492e
hex3d091d14

1024007444 has 24 divisors (see below), whose sum is σ = 1899690408. Its totient is φ = 481310720.

The previous prime is 1024007423. The next prime is 1024007473. The reversal of 1024007444 is 4447004201.

It can be written as a sum of positive squares in 4 ways, for example, as 147136900 + 876870544 = 12130^2 + 29612^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51362 + ... + 68454.

It is an arithmetic number, because the mean of its divisors is an integer number (79153767).

Almost surely, 21024007444 is an apocalyptic number.

It is an amenable number.

1024007444 is a deficient number, since it is larger than the sum of its proper divisors (875682964).

1024007444 is a wasteful number, since it uses less digits than its factorization.

1024007444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17995 (or 17993 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 26.

The square root of 1024007444 is about 32000.1163122886. The cubic root of 1024007444 is about 1007.9392823194.

The spelling of 1024007444 in words is "one billion, twenty-four million, seven thousand, four hundred forty-four".

Divisors: 1 2 4 17 34 68 881 1762 3524 14977 17093 29954 34186 59908 68372 290581 581162 1162324 15058933 30117866 60235732 256001861 512003722 1024007444