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4286674080 = 2532513228989
BaseRepresentation
bin1111111110000001…
…0111010010100000
3102001202010121100200
43333200113102200
532234342032310
61545210145200
7211141062033
oct37740272240
912052117320
104286674080
1118aa796757
129b7722200
13534134b50
142c945901a
151a15009c0
hexff8174a0

4286674080 has 144 divisors (see below), whose sum is σ = 15753596040. Its totient is φ = 1055176704.

The previous prime is 4286674043. The next prime is 4286674103. The reversal of 4286674080 is 804766824.

4286674080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3673814544 + 612859536 = 60612^2 + 24756^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 95775 + ... + 133214.

Almost surely, 24286674080 is an apocalyptic number.

4286674080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4286674080 is an abundant number, since it is smaller than the sum of its proper divisors (11466921960).

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

4286674080 is a wasteful number, since it uses less digits than its factorization.

4286674080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229023 (or 229012 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 4286674080 is about 65472.6972103640. The cubic root of 4286674080 is about 1624.4517699349.

The spelling of 4286674080 in words is "four billion, two hundred eighty-six million, six hundred seventy-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 780 936 1040 1170 1248 1440 1560 1872 2080 2340 3120 3744 4680 6240 9360 18720 228989 457978 686967 915956 1144945 1373934 1831912 2060901 2289890 2747868 2976857 3434835 3663824 4121802 4579780 5495736 5953714 6869670 7327648 8243604 8930571 9159560 10304505 10991472 11907428 13739340 14884285 16487208 17861142 18319120 20609010 21982944 23814856 26791713 27478680 29768570 32974416 35722284 36638240 41218020 44652855 47629712 53583426 54957360 59537140 65948832 71444568 82436040 89305710 95259424 107166852 109914720 119074280 133958565 142889136 164872080 178611420 214333704 238148560 267917130 285778272 329744160 357222840 428667408 476297120 535834260 714445680 857334816 1071668520 1428891360 2143337040 4286674080