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489335440 = 245114631201
BaseRepresentation
bin11101001010101…
…010101010010000
31021002202211000211
4131022222222100
52000232213230
6120320053504
715061165636
oct3512525220
91232684024
10489335440
11231242a60
12117a64294
137a4bcbc9
1448dbb356
152ce5d42a
hex1d2aaa90

489335440 has 80 divisors (see below), whose sum is σ = 1244848896. Its totient is φ = 177408000.

The previous prime is 489335423. The next prime is 489335447. The reversal of 489335440 is 44533984.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 489335393 and 489335402.

It is not an unprimeable number, because it can be changed into a prime (489335447) 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, 406840 + ... + 408040.

Almost surely, 2489335440 is an apocalyptic number.

489335440 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 489335440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622424448).

489335440 is an abundant number, since it is smaller than the sum of its proper divisors (755513456).

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

489335440 is a wasteful number, since it uses less digits than its factorization.

489335440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The square root of 489335440 is about 22120.9276478180. The cubic root of 489335440 is about 788.0169458766.

The spelling of 489335440 in words is "four hundred eighty-nine million, three hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 463 880 926 1201 1852 2315 2402 3704 4630 4804 5093 6005 7408 9260 9608 10186 12010 13211 18520 19216 20372 24020 25465 26422 37040 40744 48040 50930 52844 66055 81488 96080 101860 105688 132110 203720 211376 264220 407440 528440 556063 1056880 1112126 2224252 2780315 4448504 5560630 6116693 8897008 11121260 12233386 22242520 24466772 30583465 44485040 48933544 61166930 97867088 122333860 244667720 489335440