Search a number
-
+
40439000 = 2353753109
BaseRepresentation
bin1001101001000…
…0110011011000
32211002111212202
42122100303120
540323022000
64002425332
71000503650
oct232206330
984074782
1040439000
1120910468
1211662248
1384bb604
145529360
15383bdd5
hex2690cd8

40439000 has 128 divisors (see below), whose sum is σ = 111196800. Its totient is φ = 13478400.

The previous prime is 40438999. The next prime is 40439023. The reversal of 40439000 is 93404.

It is a super-3 number, since 3×404390003 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 370946 + ... + 371054.

It is an arithmetic number, because the mean of its divisors is an integer number (868725).

Almost surely, 240439000 is an apocalyptic number.

40439000 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 40439000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55598400).

40439000 is an abundant number, since it is smaller than the sum of its proper divisors (70757800).

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

40439000 is a wasteful number, since it uses less digits than its factorization.

40439000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 40439000 is about 6359.1666120648. The cubic root of 40439000 is about 343.2417723817.

The spelling of 40439000 in words is "forty million, four hundred thirty-nine thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 53 56 70 100 106 109 125 140 175 200 212 218 250 265 280 350 371 424 436 500 530 545 700 742 763 872 875 1000 1060 1090 1325 1400 1484 1526 1750 1855 2120 2180 2650 2725 2968 3052 3500 3710 3815 4360 5300 5450 5777 6104 6625 7000 7420 7630 9275 10600 10900 11554 13250 13625 14840 15260 18550 19075 21800 23108 26500 27250 28885 30520 37100 38150 40439 46216 46375 53000 54500 57770 74200 76300 80878 92750 95375 109000 115540 144425 152600 161756 185500 190750 202195 231080 288850 323512 371000 381500 404390 577700 722125 763000 808780 1010975 1155400 1444250 1617560 2021950 2888500 4043900 5054875 5777000 8087800 10109750 20219500 40439000