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423144500 = 22537311593
BaseRepresentation
bin11001001110001…
…010110000110100
31002111012222010112
4121032022300310
51331311111000
6105553242152
713325445302
oct3116126064
91074188115
10423144500
111a79437a9
12b9863358
136988607c
14402ab272
1527236235
hex1938ac34

423144500 has 48 divisors (see below), whose sum is σ = 936887952. Its totient is φ = 166924800.

The previous prime is 423144499. The next prime is 423144503. The reversal of 423144500 is 5441324.

It can be written as a sum of positive squares in 8 ways, for example, as 34739236 + 388405264 = 5894^2 + 19708^2 .

It is a super-3 number, since 3×4231445003 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423144503) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 30704 + ... + 42296.

It is an arithmetic number, because the mean of its divisors is an integer number (19518499).

Almost surely, 2423144500 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 423144500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468443976).

423144500 is an abundant number, since it is smaller than the sum of its proper divisors (513743452).

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

423144500 is a wasteful number, since it uses less digits than its factorization.

423144500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11685 (or 11673 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 423144500 is about 20570.4764164567. The cubic root of 423144500 is about 750.7515429557.

Adding to 423144500 its reverse (5441324), we get a palindrome (428585824).

The spelling of 423144500 in words is "four hundred twenty-three million, one hundred forty-four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 125 146 250 292 365 500 730 1460 1825 3650 7300 9125 11593 18250 23186 36500 46372 57965 115930 231860 289825 579650 846289 1159300 1449125 1692578 2898250 3385156 4231445 5796500 8462890 16925780 21157225 42314450 84628900 105786125 211572250 423144500