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2050293840 = 243571771789
BaseRepresentation
bin111101000110101…
…0000000001010000
312021212222201101220
41322031100001100
513144333400330
6535240525040
7101544132030
oct17215200120
95255881356
102050293840
11962379121
12492780780
13268a0642a
1415642b8c0
15beee9710
hex7a350050

2050293840 has 160 divisors (see below), whose sum is σ = 7691293440. Its totient is φ = 441065472.

The previous prime is 2050293821. The next prime is 2050293907. The reversal of 2050293840 is 483920502.

It is a happy number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 7335 + ... + 64454.

It is an arithmetic number, because the mean of its divisors is an integer number (48070584).

Almost surely, 22050293840 is an apocalyptic number.

2050293840 is a gapful number since it is divisible by the number (20) 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 2050293840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3845646720).

2050293840 is an abundant number, since it is smaller than the sum of its proper divisors (5640999600).

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

2050293840 is a wasteful number, since it uses less digits than its factorization.

2050293840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71829 (or 71823 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 2050293840 is about 45280.1704943787. The cubic root of 2050293840 is about 1270.3947849898.

The spelling of 2050293840 in words is "two billion, fifty million, two hundred ninety-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 34 35 40 42 48 51 56 60 68 70 80 84 85 102 105 112 119 120 136 140 168 170 204 210 238 240 255 272 280 336 340 357 408 420 476 510 560 595 680 714 816 840 952 1020 1190 1360 1428 1680 1785 1904 2040 2380 2856 3570 4080 4760 5712 7140 9520 14280 28560 71789 143578 215367 287156 358945 430734 502523 574312 717890 861468 1005046 1076835 1148624 1220413 1435780 1507569 1722936 2010092 2153670 2440826 2512615 2871560 3015138 3445872 3661239 4020184 4307340 4881652 5025230 5743120 6030276 6102065 7322478 7537845 8040368 8542891 8614680 9763304 10050460 12060552 12204130 14644956 15075690 17085782 17229360 18306195 19526608 20100920 24121104 24408260 25628673 29289912 30151380 34171564 36612390 40201840 42714455 48816520 51257346 58579824 60302760 68343128 73224780 85428910 97633040 102514692 120605520 128143365 136686256 146449560 170857820 205029384 256286730 292899120 341715640 410058768 512573460 683431280 1025146920 2050293840