Search a number
-
+
4328285040 = 2432523512557
BaseRepresentation
bin1000000011111110…
…00110001101110000
3102011122102122212100
410001333012031300
532331020110130
61553254100400
7212154546552
oct40177061560
912148378770
104328285040
111921227682
12a0964a700
1353c943a11
142d0bab4d2
151a4ebec60
hex101fc6370

4328285040 has 120 divisors (see below), whose sum is σ = 14547693888. Its totient is φ = 1153267200.

The previous prime is 4328285011. The next prime is 4328285167. The reversal of 4328285040 is 405828234.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4328284986 and 4328285004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1691442 + ... + 1693998.

Almost surely, 24328285040 is an apocalyptic number.

4328285040 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 4328285040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7273846944).

4328285040 is an abundant number, since it is smaller than the sum of its proper divisors (10219408848).

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

4328285040 is a wasteful number, since it uses less digits than its factorization.

4328285040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4927 (or 4918 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 4328285040 is about 65789.7031457051. The cubic root of 4328285040 is about 1629.6910651918.

The spelling of 4328285040 in words is "four billion, three hundred twenty-eight million, two hundred eighty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 2351 2557 4702 5114 7053 7671 9404 10228 11755 12785 14106 15342 18808 20456 21159 23013 23510 25570 28212 30684 35265 37616 38355 40912 42318 46026 47020 51140 56424 61368 70530 76710 84636 92052 94040 102280 105795 112848 115065 122736 141060 153420 169272 184104 188080 204560 211590 230130 282120 306840 338544 368208 423180 460260 564240 613680 846360 920520 1692720 1841040 6011507 12023014 18034521 24046028 30057535 36069042 48092056 54103563 60115070 72138084 90172605 96184112 108207126 120230140 144276168 180345210 216414252 240460280 270517815 288552336 360690420 432828504 480920560 541035630 721380840 865657008 1082071260 1442761680 2164142520 4328285040