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40442040 = 23325112339
BaseRepresentation
bin1001101001000…
…1100010111000
32211002200001100
42122101202320
540323121130
64002451400
71000515552
oct232214270
984080040
1040442040
1120912781
1211663b60
1384bcb02
14552a4d2
15383cc60
hex26918b8

40442040 has 48 divisors (see below), whose sum is σ = 131437800. Its totient is φ = 10784448.

The previous prime is 40442009. The next prime is 40442057. The reversal of 40442040 is 4024404.

It is a happy number.

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

It is a zygodrome in base 3.

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 11 ways as a sum of consecutive naturals, for example, 55810 + ... + 56529.

Almost surely, 240442040 is an apocalyptic number.

40442040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40442040 is an abundant number, since it is smaller than the sum of its proper divisors (90995760).

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

40442040 is a wasteful number, since it uses less digits than its factorization.

40442040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112356 (or 112349 counting only the distinct ones).

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

The square root of 40442040 is about 6359.4056326044. The cubic root of 40442040 is about 343.2503732278.

Adding to 40442040 its reverse (4024404), we get a palindrome (44466444).

It can be divided in two parts, 4044 and 2040, that added together give a square (6084 = 782).

The spelling of 40442040 in words is "forty million, four hundred forty-two 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 112339 224678 337017 449356 561695 674034 898712 1011051 1123390 1348068 1685085 2022102 2246780 2696136 3370170 4044204 4493560 5055255 6740340 8088408 10110510 13480680 20221020 40442040