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4040505400 = 2352474211021
BaseRepresentation
bin1111000011010101…
…0011100000111000
3101102120220221102011
43300311103200320
531233332133100
61504534015304
7202061505061
oct36065234070
911376827364
104040505400
11179383a568
129491a7534
134c51342c9
142a4899568
15189ac6bba
hexf0d53838

4040505400 has 96 divisors (see below), whose sum is σ = 9626258880. Its totient is φ = 1576512000.

The previous prime is 4040505383. The next prime is 4040505421. The reversal of 4040505400 is 45050404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3956890 + ... + 3957910.

It is an arithmetic number, because the mean of its divisors is an integer number (100273530).

Almost surely, 24040505400 is an apocalyptic number.

4040505400 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 4040505400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4813129440).

4040505400 is an abundant number, since it is smaller than the sum of its proper divisors (5585753480).

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

4040505400 is a wasteful number, since it uses less digits than its factorization.

4040505400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 4040505400 is about 63564.9699126807. The cubic root of 4040505400 is about 1592.7412596041.

Adding to 4040505400 its reverse (45050404), we get a palindrome (4085555804).

The spelling of 4040505400 in words is "four billion, forty million, five hundred five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 188 200 235 376 421 470 842 940 1021 1175 1684 1880 2042 2105 2350 3368 4084 4210 4700 5105 8168 8420 9400 10210 10525 16840 19787 20420 21050 25525 39574 40840 42100 47987 51050 79148 84200 95974 98935 102100 158296 191948 197870 204200 239935 383896 395740 429841 479870 494675 791480 859682 959740 989350 1199675 1719364 1919480 1978700 2149205 2399350 3438728 3957400 4298410 4798700 8596820 9597400 10746025 17193640 20202527 21492050 40405054 42984100 80810108 85968200 101012635 161620216 202025270 404050540 505063175 808101080 1010126350 2020252700 4040505400