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40221040 = 2451393617
BaseRepresentation
bin1001100101101…
…1100101110000
32210200102220011
42121123211300
540244033130
63554024304
7665605336
oct231334560
983612804
1040221040
1120781732
1211578094
138443342
1454adb56
1537e752a
hex265b970

40221040 has 40 divisors (see below), whose sum is σ = 94212720. Its totient is φ = 15968256.

The previous prime is 40221023. The next prime is 40221047. The reversal of 40221040 is 4012204.

40221040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 40221040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40221047) 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 7 ways as a sum of consecutive naturals, for example, 9312 + ... + 12928.

It is an arithmetic number, because the mean of its divisors is an integer number (2355318).

Almost surely, 240221040 is an apocalyptic number.

40221040 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 40221040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47106360).

40221040 is an abundant number, since it is smaller than the sum of its proper divisors (53991680).

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

40221040 is a wasteful number, since it uses less digits than its factorization.

40221040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3769 (or 3763 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 40221040 is about 6342.0059917979. The cubic root of 40221040 is about 342.6239876460.

Adding to 40221040 its reverse (4012204), we get a palindrome (44233244).

The spelling of 40221040 in words is "forty million, two hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 139 278 556 695 1112 1390 2224 2780 3617 5560 7234 11120 14468 18085 28936 36170 57872 72340 144680 289360 502763 1005526 2011052 2513815 4022104 5027630 8044208 10055260 20110520 40221040