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40444056 = 23331131657
BaseRepresentation
bin1001101001001…
…0000010011000
32211002202211000
42122102002120
540323202211
64002505000
71000524462
oct232220230
984082730
1040444056
1120914244
1211665160
1384c09c3
14552b132
15383d656
hex2692098

40444056 has 64 divisors (see below), whose sum is σ = 113407200. Its totient is φ = 13353984.

The previous prime is 40444031. The next prime is 40444091. The reversal of 40444056 is 65044404.

It is a super-2 number, since 2×404440562 = 3271443331462272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23580 + ... + 25236.

Almost surely, 240444056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40444056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56703600).

40444056 is an abundant number, since it is smaller than the sum of its proper divisors (72963144).

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

40444056 is a wasteful number, since it uses less digits than its factorization.

40444056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 40444056 is about 6359.5641360081. The cubic root of 40444056 is about 343.2560767091.

It can be divided in two parts, 404440 and 56, that added together give a square (404496 = 6362).

The spelling of 40444056 in words is "forty million, four hundred forty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 113 216 226 339 452 678 904 1017 1356 1657 2034 2712 3051 3314 4068 4971 6102 6628 8136 9942 12204 13256 14913 19884 24408 29826 39768 44739 59652 89478 119304 178956 187241 357912 374482 561723 748964 1123446 1497928 1685169 2246892 3370338 4493784 5055507 6740676 10111014 13481352 20222028 40444056