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40404040 = 23573101137
BaseRepresentation
bin1001101000100…
…0010001001000
32211000201220221
42122020101020
540320412130
64001555424
71000300015
oct232102110
984021827
1040404040
1120897176
1211645b74
1384a8721
14551a70c
15383187a
hex2688448

40404040 has 64 divisors (see below), whose sum is σ = 93746160. Its totient is φ = 15667200.

The previous prime is 40404017. The next prime is 40404043. The reversal of 40404040 is 4040404.

It can be written as a sum of positive squares in 8 ways, for example, as 31606884 + 8797156 = 5622^2 + 2966^2 .

40404040 is an undulating number in base 10.

40404040 is a modest number, since divided by 404040 gives 40 as remainder.

It is not an unprimeable number, because it can be changed into a prime (40404043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294852 + ... + 294988.

Almost surely, 240404040 is an apocalyptic number.

40404040 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 40404040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46873080).

40404040 is an abundant number, since it is smaller than the sum of its proper divisors (53342120).

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

40404040 is a wasteful number, since it uses less digits than its factorization.

40404040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 40404040 is about 6356.4172298552. The cubic root of 40404040 is about 343.1428316563.

Adding to 40404040 its reverse (4040404), we get a palindrome (44444444).

The spelling of 40404040 in words is "forty million, four hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 73 101 137 146 202 274 292 365 404 505 548 584 685 730 808 1010 1096 1370 1460 2020 2740 2920 4040 5480 7373 10001 13837 14746 20002 27674 29492 36865 40004 50005 55348 58984 69185 73730 80008 100010 110696 138370 147460 200020 276740 294920 400040 553480 1010101 2020202 4040404 5050505 8080808 10101010 20202020 40404040