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4426334208 = 215335003
BaseRepresentation
bin1000001111101010…
…01000000000000000
3102102110221002001000
410013311020000000
533031120143313
62011115412000
7214455135312
oct40765100000
912373832030
104426334208
11197160644a
12a36454000
1355705358a
142ddc117b2
151ad8db673
hex107d48000

4426334208 has 128 divisors (see below), whose sum is σ = 13117485600. Its totient is φ = 1475149824.

The previous prime is 4426334207. The next prime is 4426334249. The reversal of 4426334208 is 8024336244.

4426334208 is a `hidden beast` number, since 442 + 6 + 3 + 3 + 4 + 208 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4426334207) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 882235 + ... + 887237.

Almost surely, 24426334208 is an apocalyptic number.

4426334208 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4426334208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6558742800).

4426334208 is an abundant number, since it is smaller than the sum of its proper divisors (8691151392).

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

4426334208 is an frugal number, since it uses more digits than its factorization.

4426334208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5042 (or 5008 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 4426334208 is about 66530.7012438618. The cubic root of 4426334208 is about 1641.9051585502.

The spelling of 4426334208 in words is "four billion, four hundred twenty-six million, three hundred thirty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4096 4608 5003 6144 6912 8192 9216 10006 12288 13824 15009 16384 18432 20012 24576 27648 30018 32768 36864 40024 45027 49152 55296 60036 73728 80048 90054 98304 110592 120072 135081 147456 160096 180108 221184 240144 270162 294912 320192 360216 442368 480288 540324 640384 720432 884736 960576 1080648 1280768 1440864 1921152 2161296 2561536 2881728 3842304 4322592 5123072 5763456 7684608 8645184 10246144 11526912 15369216 17290368 20492288 23053824 30738432 34580736 40984576 46107648 61476864 69161472 81969152 92215296 122953728 138322944 163938304 184430592 245907456 276645888 368861184 491814912 553291776 737722368 1106583552 1475444736 2213167104 4426334208