Search a number
-
+
423875760 = 243571122937
BaseRepresentation
bin11001010000111…
…101010010110000
31002112121010020020
4121100331102300
51332003011020
6110021043440
713334612250
oct3120752260
91075533206
10423875760
111a82a3150
12b9b56580
1369a80b79
144041b960
152732cc40
hex1943d4b0

423875760 has 160 divisors (see below), whose sum is σ = 1638323712. Its totient is φ = 88074240.

The previous prime is 423875743. The next prime is 423875831. The reversal of 423875760 is 67578324.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7012 + ... + 29948.

Almost surely, 2423875760 is an apocalyptic number.

423875760 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 423875760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819161856).

423875760 is an abundant number, since it is smaller than the sum of its proper divisors (1214447952).

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

423875760 is a wasteful number, since it uses less digits than its factorization.

423875760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22971 (or 22965 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 423875760 is about 20588.2432470573. The cubic root of 423875760 is about 751.1837661694.

The spelling of 423875760 in words is "four hundred twenty-three million, eight hundred seventy-five thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 33 35 40 42 44 48 55 56 60 66 70 77 80 84 88 105 110 112 120 132 140 154 165 168 176 210 220 231 240 264 280 308 330 336 385 420 440 462 528 560 616 660 770 840 880 924 1155 1232 1320 1540 1680 1848 2310 2640 3080 3696 4620 6160 9240 18480 22937 45874 68811 91748 114685 137622 160559 183496 229370 252307 275244 321118 344055 366992 458740 481677 504614 550488 642236 688110 756921 802795 917480 963354 1009228 1100976 1261535 1284472 1376220 1513842 1605590 1766149 1834960 1926708 2018456 2408385 2523070 2568944 2752440 3027684 3211180 3532298 3784605 3853416 4036912 4816770 5046140 5298447 5504880 6055368 6422360 7064596 7569210 7706832 8830745 9633540 10092280 10596894 12110736 12844720 14129192 15138420 17661490 19267080 20184560 21193788 26492235 28258384 30276840 35322980 38534160 42387576 52984470 60553680 70645960 84775152 105968940 141291920 211937880 423875760