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4426199280 = 2432541149939
BaseRepresentation
bin1000001111101001…
…00111000011110000
3102102110200012221200
410013310213003300
533031101334110
62011112451200
7214454034036
oct40764470360
912373605850
104426199280
111971524038
12a363a9b00
13557007039
142ddbb8556
151ad8b16c0
hex107d270f0

4426199280 has 120 divisors (see below), whose sum is σ = 15227306640. Its totient is φ = 1151523840.

The previous prime is 4426199263. The next prime is 4426199317. The reversal of 4426199280 is 829916244.

4426199280 is a `hidden beast` number, since 4 + 4 + 2 + 619 + 9 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45450 + ... + 104489.

It is an arithmetic number, because the mean of its divisors is an integer number (126894222).

Almost surely, 24426199280 is an apocalyptic number.

4426199280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4426199280 is an abundant number, since it is smaller than the sum of its proper divisors (10801107360).

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

4426199280 is a wasteful number, since it uses less digits than its factorization.

4426199280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149999 (or 149990 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 4426199280 is about 66529.6872080427. The cubic root of 4426199280 is about 1641.8884749756. Note that the first 3 decimals are identical.

The spelling of 4426199280 in words is "four billion, four hundred twenty-six million, one hundred ninety-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 41 45 48 60 72 80 82 90 120 123 144 164 180 205 240 246 328 360 369 410 492 615 656 720 738 820 984 1230 1476 1640 1845 1968 2460 2952 3280 3690 4920 5904 7380 9840 14760 29520 149939 299878 449817 599756 749695 899634 1199512 1349451 1499390 1799268 2249085 2399024 2698902 2998780 3598536 4498170 5397804 5997560 6147499 6747255 7197072 8996340 10795608 11995120 12294998 13494510 17992680 18442497 21591216 24589996 26989020 30737495 35985360 36884994 49179992 53978040 55327491 61474990 73769988 92212485 98359984 107956080 110654982 122949980 147539976 184424970 221309964 245899960 276637455 295079952 368849940 442619928 491799920 553274910 737699880 885239856 1106549820 1475399760 2213099640 4426199280