Search a number
-
+
40444032 = 273105323
BaseRepresentation
bin1001101001001…
…0000010000000
32211002202210010
42122102002000
540323202112
64002504520
71000524426
oct232220200
984082703
1040444032
1120914222
1211665140
1384c09a5
14552b116
15383d63c
hex2692080

40444032 has 32 divisors (see below), whose sum is σ = 107430480. Its totient is φ = 13481216.

The previous prime is 40444031. The next prime is 40444091. The reversal of 40444032 is 23044404.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (40444031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52278 + ... + 53045.

Almost surely, 240444032 is an apocalyptic number.

It is an amenable number.

40444032 is an abundant number, since it is smaller than the sum of its proper divisors (66986448).

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

40444032 is a wasteful number, since it uses less digits than its factorization.

40444032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105340 (or 105328 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 40444032 is about 6359.5622490860. The cubic root of 40444032 is about 343.2560088116.

Adding to 40444032 its reverse (23044404), we get a palindrome (63488436).

The spelling of 40444032 in words is "forty million, four hundred forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 105323 210646 315969 421292 631938 842584 1263876 1685168 2527752 3370336 5055504 6740672 10111008 13481344 20222016 40444032