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4028423020 = 2251724189191
BaseRepresentation
bin1111000000011100…
…1101101101101100
3101101202012002111121
43300013031231230
531222234014040
61503423030324
7201554013346
oct36007155554
911352162447
104028423020
111787a37926
1294513b3a4
134c279397b
142a3032296
151889dbc4a
hexf01cdb6c

4028423020 has 144 divisors (see below), whose sum is σ = 9357949440. Its totient is φ = 1455308800.

The previous prime is 4028422987. The next prime is 4028423029. The reversal of 4028423020 is 203248204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4028423029) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 21091125 + ... + 21091315.

It is an arithmetic number, because the mean of its divisors is an integer number (64985760).

Almost surely, 24028423020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4028423020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4678974720).

4028423020 is an abundant number, since it is smaller than the sum of its proper divisors (5329526420).

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

4028423020 is a wasteful number, since it uses less digits than its factorization.

4028423020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 4028423020 is about 63469.8591458970. The cubic root of 4028423020 is about 1591.1520756501.

The spelling of 4028423020 in words is "four billion, twenty-eight million, four hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 41 68 82 85 89 164 170 178 191 205 289 340 356 382 410 445 578 697 764 820 890 955 1156 1394 1445 1513 1780 1910 2788 2890 3026 3247 3485 3649 3820 5780 6052 6494 6970 7298 7565 7831 11849 12988 13940 14596 15130 15662 16235 16999 18245 23698 25721 30260 31324 32470 33998 36490 39155 47396 51442 55199 59245 62033 64940 67996 72980 78310 84995 102884 110398 118490 124066 128605 133127 156620 169990 220796 236980 248132 257210 266254 275995 288983 310165 339980 514420 532508 551990 577966 620330 665635 696959 1054561 1103980 1155932 1240660 1331270 1393918 1444915 2109122 2263159 2662540 2787836 2889830 3484795 4218244 4526318 4912711 5272805 5779660 6969590 9052636 9825422 10545610 11315795 11848303 13939180 19650844 21091220 22631590 23696606 24563555 45263180 47393212 49127110 59241515 98254220 118483030 201421151 236966060 402842302 805684604 1007105755 2014211510 4028423020