Search a number
-
+
40424040 = 23325112289
BaseRepresentation
bin1001101000110…
…1001001101000
32211001202100200
42122031021220
540322032130
64002232200
71000412226
oct232151150
984052320
1040424040
11209001a8
1211655660
1384b4867
145523b16
153837760
hex268d268

40424040 has 48 divisors (see below), whose sum is σ = 131379300. Its totient is φ = 10779648.

The previous prime is 40424009. The next prime is 40424051. The reversal of 40424040 is 4042404.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 36942084 + 3481956 = 6078^2 + 1866^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 55785 + ... + 56504.

Almost surely, 240424040 is an apocalyptic number.

40424040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40424040 is an abundant number, since it is smaller than the sum of its proper divisors (90955260).

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

40424040 is a wasteful number, since it uses less digits than its factorization.

40424040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112306 (or 112299 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 40424040 is about 6357.9902484983. The cubic root of 40424040 is about 343.1994408845.

Adding to 40424040 its reverse (4042404), we get a palindrome (44466444).

The spelling of 40424040 in words is "forty million, four hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 112289 224578 336867 449156 561445 673734 898312 1010601 1122890 1347468 1684335 2021202 2245780 2694936 3368670 4042404 4491560 5053005 6737340 8084808 10106010 13474680 20212020 40424040