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4441607408 = 247174156897
BaseRepresentation
bin1000010001011110…
…11000110011110000
3102110112200000221002
410020233120303300
533044022414113
62012423021132
7215032016510
oct41057306360
912415600832
104441607408
11197a198427
12a3b59a7a8
1355a270384
14301c69840
151aee06c58
hex108bd8cf0

4441607408 has 80 divisors (see below), whose sum is σ = 10667692224. Its totient is φ = 1747845120.

The previous prime is 4441607393. The next prime is 4441607413. The reversal of 4441607408 is 8047061444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49616 + ... + 106512.

Almost surely, 24441607408 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 4441607408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5333846112).

4441607408 is an abundant number, since it is smaller than the sum of its proper divisors (6226084816).

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

4441607408 is a wasteful number, since it uses less digits than its factorization.

4441607408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56970 (or 56964 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 38.

The square root of 4441607408 is about 66645.3854966719. The cubic root of 4441607408 is about 1643.7914717464.

The spelling of 4441607408 in words is "four billion, four hundred forty-one million, six hundred seven thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 17 28 34 41 56 68 82 112 119 136 164 238 272 287 328 476 574 656 697 952 1148 1394 1904 2296 2788 4592 4879 5576 9758 11152 19516 39032 56897 78064 113794 227588 398279 455176 796558 910352 967249 1593116 1934498 2332777 3186232 3868996 4665554 6372464 6770743 7737992 9331108 13541486 15475984 16329439 18662216 27082972 32658878 37324432 39657209 54165944 65317756 79314418 108331888 130635512 158628836 261271024 277600463 317257672 555200926 634515344 1110401852 2220803704 4441607408