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5444590080 = 29354117291
BaseRepresentation
bin1010001001000010…
…11101101000000000
3112001102221211111110
411010201131220000
542122303340310
62300132243320
7251631152316
oct50441355000
915042854443
105444590080
112344369126
12107b470540
13689cb3047
143991520b6
1521cec6d20
hex14485da00

5444590080 has 160 divisors (see below), whose sum is σ = 17831233728. Its totient is φ = 1416396800.

The previous prime is 5444590043. The next prime is 5444590097. The reversal of 5444590080 is 800954445.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×54445900802 = 59287122278468812800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 306235 + ... + 323525.

Almost surely, 25444590080 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 5444590080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8915616864).

5444590080 is an abundant number, since it is smaller than the sum of its proper divisors (12386643648).

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

5444590080 is a wasteful number, since it uses less digits than its factorization.

5444590080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17358 (or 17342 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 5444590080 is about 73787.4656022281. The cubic root of 5444590080 is about 1759.2263817645.

The spelling of 5444590080 in words is "five billion, four hundred forty-four million, five hundred ninety thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 128 160 164 192 205 240 246 256 320 328 384 410 480 492 512 615 640 656 768 820 960 984 1230 1280 1312 1536 1640 1920 1968 2460 2560 2624 3280 3840 3936 4920 5248 6560 7680 7872 9840 10496 13120 15744 17291 19680 20992 26240 31488 34582 39360 51873 52480 62976 69164 78720 86455 103746 104960 138328 157440 172910 207492 259365 276656 314880 345820 414984 518730 553312 691640 708931 829968 1037460 1106624 1383280 1417862 1659936 2074920 2126793 2213248 2766560 2835724 3319872 3544655 4149840 4253586 4426496 5533120 5671448 6639744 7089310 8299680 8507172 8852992 10633965 11066240 11342896 13279488 14178620 16599360 17014344 21267930 22132480 22685792 26558976 28357240 33198720 34028688 42535860 44264960 45371584 56714480 66397440 68057376 85071720 90743168 113428960 132794880 136114752 170143440 181486336 226857920 272229504 340286880 362972672 453715840 544459008 680573760 907431680 1088918016 1361147520 1814863360 2722295040 5444590080