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4285943440 = 2451731277367
BaseRepresentation
bin1111111101110110…
…0100111010010000
3102001200202111002221
43333131210322100
532234200142230
61545142350424
7211131626632
oct37735447220
912050674087
104285943440
1118aa337819
129b742b414
13533c3a40c
142c9308a52
151a140927a
hexff764e90

4285943440 has 160 divisors (see below), whose sum is σ = 10960441344. Its totient is φ = 1551605760.

The previous prime is 4285943413. The next prime is 4285943443. The reversal of 4285943440 is 443495824.

It is a super-2 number, since 2×42859434402 = 36738622341758067200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4285943443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11678137 + ... + 11678503.

Almost surely, 24285943440 is an apocalyptic number.

4285943440 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 4285943440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5480220672).

4285943440 is an abundant number, since it is smaller than the sum of its proper divisors (6674497904).

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

4285943440 is a wasteful number, since it uses less digits than its factorization.

4285943440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 43.

The square root of 4285943440 is about 65467.1172421698. The cubic root of 4285943440 is about 1624.3594717368.

The spelling of 4285943440 in words is "four billion, two hundred eighty-five million, nine hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 31 34 40 62 68 80 85 124 136 155 170 248 272 277 310 340 367 496 527 554 620 680 734 1054 1108 1240 1360 1385 1468 1835 2108 2216 2480 2635 2770 2936 3670 4216 4432 4709 5270 5540 5872 6239 7340 8432 8587 9418 10540 11080 11377 12478 14680 17174 18836 21080 22160 22754 23545 24956 29360 31195 34348 37672 42160 42935 45508 47090 49912 56885 62390 68696 75344 85870 91016 94180 99824 101659 113770 124780 137392 145979 171740 182032 188360 193409 203318 227540 249560 291958 343480 376720 386818 406636 455080 499120 508295 583916 686960 729895 773636 813272 910160 967045 1016590 1167832 1459790 1547272 1626544 1728203 1934090 2033180 2335664 2919580 3094544 3151429 3456406 3868180 4066360 5839160 6302858 6912812 7736360 8132720 8641015 11678320 12605716 13825624 15472720 15757145 17282030 25211432 27651248 31514290 34564060 50422864 53574293 63028580 69128120 107148586 126057160 138256240 214297172 252114320 267871465 428594344 535742930 857188688 1071485860 2142971720 4285943440