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505202040 = 2332572931223
BaseRepresentation
bin11110000111001…
…100010101111000
31022012121220220200
4132013030111320
52013312431130
6122044122200
715343101150
oct3607142570
91265556820
10505202040
1123a19a852
12121236360
1380886b25
144b14b760
152e544760
hex1e1cc578

505202040 has 384 divisors, whose sum is σ = 2012774400. Its totient is φ = 107412480.

The previous prime is 505202021. The next prime is 505202051. The reversal of 505202040 is 40202505.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2265369 + ... + 2265591.

It is an arithmetic number, because the mean of its divisors is an integer number (5241600).

Almost surely, 2505202040 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 505202040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006387200).

505202040 is an abundant number, since it is smaller than the sum of its proper divisors (1507572360).

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

505202040 is a wasteful number, since it uses less digits than its factorization.

505202040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 505202040 is about 22476.6999357112. The cubic root of 505202040 is about 796.4436093680.

Adding to 505202040 its reverse (40202505), we get a palindrome (545404545).

The spelling of 505202040 in words is "five hundred five million, two hundred two thousand, forty".