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4400448980 = 2251729446293
BaseRepresentation
bin1000001100100100…
…11000010111010100
3102100200012222011212
410012102120113110
533003003331410
62004352520552
7214022125214
oct40622302724
912320188155
104400448980
111958a364a4
12a29850158
1355188c485
142da5d4244
151ab4c6b05
hex1064985d4

4400448980 has 48 divisors (see below), whose sum is σ = 10121947920. Its totient is φ = 1599510528.

The previous prime is 4400448973. The next prime is 4400449019. The reversal of 4400448980 is 898440044.

It can be written as a sum of positive squares in 8 ways, for example, as 542051524 + 3858397456 = 23282^2 + 62116^2 .

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 15 ways as a sum of consecutive naturals, for example, 213287 + ... + 233006.

It is an arithmetic number, because the mean of its divisors is an integer number (210873915).

Almost surely, 24400448980 is an apocalyptic number.

It is an amenable number.

4400448980 is an abundant number, since it is smaller than the sum of its proper divisors (5721498940).

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

4400448980 is a wasteful number, since it uses less digits than its factorization.

4400448980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446348 (or 446346 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The square root of 4400448980 is about 66335.8800348650. The cubic root of 4400448980 is about 1638.6982754971.

The spelling of 4400448980 in words is "four billion, four hundred million, four hundred forty-eight thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 290 340 493 580 986 1972 2465 4930 9860 446293 892586 1785172 2231465 4462930 7586981 8925860 12942497 15173962 25884994 30347924 37934905 51769988 64712485 75869810 129424970 151739620 220022449 258849940 440044898 880089796 1100112245 2200224490 4400448980