Search a number
-
+
423144648 = 2335217667
BaseRepresentation
bin11001001110001…
…010110011001000
31002111012222100000
4121032022303020
51331311112043
6105553243000
713325445603
oct3116126310
91074188300
10423144648
111a7943923
12b9863460
1369886164
14402ab33a
15272362d3
hex1938acc8

423144648 has 48 divisors (see below), whose sum is σ = 1188467280. Its totient is φ = 141047568.

The previous prime is 423144629. The next prime is 423144677. The reversal of 423144648 is 846441324.

423144648 is a `hidden beast` number, since 4 + 2 + 3 + 1 + 4 + 4 + 648 = 666.

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

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 106890 + ... + 110777.

It is an arithmetic number, because the mean of its divisors is an integer number (24759735).

Almost surely, 2423144648 is an apocalyptic number.

It is an amenable number.

423144648 is an abundant number, since it is smaller than the sum of its proper divisors (765322632).

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

423144648 is a wasteful number, since it uses less digits than its factorization.

423144648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217688 (or 217672 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 423144648 is about 20570.4800138451. The cubic root of 423144648 is about 750.7516304839.

The spelling of 423144648 in words is "four hundred twenty-three million, one hundred forty-four thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 217667 435334 653001 870668 1306002 1741336 1959003 2612004 3918006 5224008 5877009 7836012 11754018 15672024 17631027 23508036 35262054 47016072 52893081 70524108 105786162 141048216 211572324 423144648