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4028266080 = 25345310823
BaseRepresentation
bin1111000000011010…
…0111011001100000
3101101201220010020000
43300012213121200
531222214003310
61503415420000
7201552460656
oct36006473140
911351803200
104028266080
11178793aa23
12945084600
134c273a3c7
142a2dd0dd6
151889aa4c0
hexf01a7660

4028266080 has 120 divisors (see below), whose sum is σ = 14216468112. Its totient is φ = 1074200832.

The previous prime is 4028266051. The next prime is 4028266087. The reversal of 4028266080 is 806628204.

4028266080 is a `hidden beast` number, since 4 + 0 + 28 + 26 + 608 + 0 = 666.

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

It is a super-2 number, since 2×40282660802 = 32453855222557132800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4028266087) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 142452 + ... + 168371.

Almost surely, 24028266080 is an apocalyptic number.

4028266080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4028266080 is an abundant number, since it is smaller than the sum of its proper divisors (10188202032).

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

4028266080 is a wasteful number, since it uses less digits than its factorization.

4028266080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310850 (or 310833 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4028266080 is about 63468.6227989863. The cubic root of 4028266080 is about 1591.1314125893.

The spelling of 4028266080 in words is "four billion, twenty-eight million, two hundred sixty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 12960 310823 621646 932469 1243292 1554115 1864938 2486584 2797407 3108230 3729876 4662345 4973168 5594814 6216460 7459752 8392221 9324690 9946336 11189628 12432920 13987035 14919504 16784442 18649380 22379256 24865840 25176663 27974070 29839008 33568884 37298760 41961105 44758512 49731680 50353326 55948140 67137768 74597520 83922210 89517024 100706652 111896280 125883315 134275536 149195040 167844420 201413304 223792560 251766630 268551072 335688840 402826608 447585120 503533260 671377680 805653216 1007066520 1342755360 2014133040 4028266080