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4050868440 = 2335533831663
BaseRepresentation
bin1111000101110011…
…0101100011011000
3101110022102102211110
43301130311203120
531244010242230
61505544100320
7202245546033
oct36134654330
911408372743
104050868440
111799678463
129507646a0
134c7322198
142a5dd601a
1518a9724b0
hexf17358d8

4050868440 has 128 divisors (see below), whose sum is σ = 12421693440. Its totient is φ = 1056446976.

The previous prime is 4050868421. The next prime is 4050868489. The reversal of 4050868440 is 448680504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2435049 + ... + 2436711.

It is an arithmetic number, because the mean of its divisors is an integer number (97044480).

Almost surely, 24050868440 is an apocalyptic number.

4050868440 is a gapful number since it is divisible by the number (40) 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 4050868440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6210846720).

4050868440 is an abundant number, since it is smaller than the sum of its proper divisors (8370825000).

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

4050868440 is a wasteful number, since it uses less digits than its factorization.

4050868440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2113 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 4050868440 is about 63646.4330500932. The cubic root of 4050868440 is about 1594.1017783731.

The spelling of 4050868440 in words is "four billion, fifty million, eight hundred sixty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 383 424 530 636 766 795 1060 1149 1272 1532 1590 1663 1915 2120 2298 3064 3180 3326 3830 4596 4989 5745 6360 6652 7660 8315 9192 9978 11490 13304 15320 16630 19956 20299 22980 24945 33260 39912 40598 45960 49890 60897 66520 81196 88139 99780 101495 121794 162392 176278 199560 202990 243588 264417 304485 352556 405980 440695 487176 528834 608970 636929 705112 811960 881390 1057668 1217940 1273858 1322085 1762780 1910787 2115336 2435880 2547716 2644170 3184645 3525560 3821574 5095432 5288340 6369290 7643148 9553935 10576680 12738580 15286296 19107870 25477160 33757237 38215740 67514474 76431480 101271711 135028948 168786185 202543422 270057896 337572370 405086844 506358555 675144740 810173688 1012717110 1350289480 2025434220 4050868440