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40203944 = 23112411013
BaseRepresentation
bin1001100101011…
…1011010101000
32210122120102222
42121113122220
540243011234
63553413212
7665504444
oct231273250
983576388
1040203944
112076a900
121156a208
138438621
1454a7824
1537e242e
hex26576a8

40203944 has 48 divisors (see below), whose sum is σ = 84963060. Its totient is φ = 17811200.

The previous prime is 40203913. The next prime is 40203949. The reversal of 40203944 is 44930204.

40203944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 25381444 + 14822500 = 5038^2 + 3850^2 .

It is a super-2 number, since 2×402039442 = 3232714226310272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40203949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39182 + ... + 40194.

Almost surely, 240203944 is an apocalyptic number.

40203944 is a gapful number since it is divisible by the number (44) 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 40203944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42481530).

40203944 is an abundant number, since it is smaller than the sum of its proper divisors (44759116).

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

40203944 is a wasteful number, since it uses less digits than its factorization.

40203944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 40203944 is about 6340.6580100176. The cubic root of 40203944 is about 342.5754365245.

The spelling of 40203944 in words is "forty million, two hundred three thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 22 41 44 82 88 121 164 242 328 451 484 902 968 1013 1804 2026 3608 4052 4961 8104 9922 11143 19844 22286 39688 41533 44572 83066 89144 122573 166132 245146 332264 456863 490292 913726 980584 1827452 3654904 5025493 10050986 20101972 40203944