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4446489124 = 22721124332
BaseRepresentation
bin1000010010000100…
…00000101000100100
3102110212212001101101
410021002000220210
533101300122444
62013115405444
7215121351100
oct41102005044
912425761341
104446489124
111981a22100
12a41153884
1355b28c36c
1430277a900
151b056d3d4
hex109080a24

4446489124 has 81 divisors (see below), whose sum is σ = 9972509841. Its totient is φ = 1728397440.

The previous prime is 4446489121. The next prime is 4446489137. The reversal of 4446489124 is 4219846444.

The square root of 4446489124 is 66682.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 498628900 + 3947860224 = 22330^2 + 62832^2 .

It is not an unprimeable number, because it can be changed into a prime (4446489121) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10268812 + ... + 10269244.

Almost surely, 24446489124 is an apocalyptic number.

4446489124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

4446489124 is the 66682-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4446489124

4446489124 is an abundant number, since it is smaller than the sum of its proper divisors (5526020717).

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

4446489124 is a wasteful number, since it uses less digits than its factorization.

4446489124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 453 counting only the distinct ones).

The product of its digits is 884736, while the sum is 46.

The cubic root of 4446489124 is about 1644.3934749028.

The spelling of 4446489124 in words is "four billion, four hundred forty-six million, four hundred eighty-nine thousand, one hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 242 308 433 484 539 847 866 1078 1694 1732 2156 3031 3388 4763 5929 6062 9526 11858 12124 19052 21217 23716 33341 42434 52393 66682 84868 104786 133364 187489 209572 233387 366751 374978 466774 733502 749956 933548 1312423 1467004 2062379 2567257 2624846 4124758 5134514 5249692 8249516 9186961 10269028 14436653 18373922 22686169 28873306 36747844 45372338 57746612 90744676 101056571 158803183 202113142 317606366 404226284 635212732 1111622281 2223244562 4446489124