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4050345520 = 2451319712887
BaseRepresentation
bin1111000101101011…
…0101111000110000
3101110021102212112001
43301122311320300
531243342024040
61505524543344
7202241240344
oct36132657060
911407385461
104050345520
1117993505a1
12950551b54
134c719b170
142a5cdb624
1518a8bc59a
hexf16b5e30

4050345520 has 160 divisors (see below), whose sum is σ = 10829306880. Its totient is φ = 1396362240.

The previous prime is 4050345511. The next prime is 4050345553. The reversal of 4050345520 is 255430504.

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, 1401517 + ... + 1404403.

It is an arithmetic number, because the mean of its divisors is an integer number (67683168).

Almost surely, 24050345520 is an apocalyptic number.

4050345520 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 4050345520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5414653440).

4050345520 is an abundant number, since it is smaller than the sum of its proper divisors (6778961360).

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

4050345520 is a wasteful number, since it uses less digits than its factorization.

4050345520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003 (or 2997 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 28.

The square root of 4050345520 is about 63642.3249103928. The cubic root of 4050345520 is about 1594.0331820885.

The spelling of 4050345520 in words is "four billion, fifty million, three hundred forty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 38 40 52 65 71 76 80 95 104 130 142 152 190 208 247 260 284 304 355 380 494 520 568 710 760 923 988 1040 1136 1235 1349 1420 1520 1846 1976 2470 2698 2840 2887 3692 3952 4615 4940 5396 5680 5774 6745 7384 9230 9880 10792 11548 13490 14435 14768 17537 18460 19760 21584 23096 26980 28870 35074 36920 37531 46192 53960 54853 57740 70148 73840 75062 87685 107920 109706 115480 140296 150124 175370 187655 204977 219412 230960 274265 280592 300248 350740 375310 409954 438824 548530 600496 701480 713089 750620 819908 877648 1024885 1097060 1402960 1426178 1501240 1639816 2049770 2194120 2664701 2852356 3002480 3279632 3565445 3894563 4099540 4388240 5329402 5704712 7130890 7789126 8199080 10658804 11409424 13323505 14261780 15578252 16398160 19472815 21317608 26647010 28523560 31156504 38945630 42635216 50629319 53294020 57047120 62313008 77891260 101258638 106588040 155782520 202517276 213176080 253146595 311565040 405034552 506293190 810069104 1012586380 2025172760 4050345520