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503045136 = 2432112947233
BaseRepresentation
bin11101111110111…
…101110000010000
31022001120100012100
4131332331300100
52012234421021
6121530000400
715315545616
oct3576756020
91261510170
10503045136
11238a57290
12120576100
13802b0159
144ab496b6
152e26a626
hex1dfbdc10

503045136 has 240 divisors, whose sum is σ = 1629538560. Its totient is φ = 143431680.

The previous prime is 503045131. The next prime is 503045141. The reversal of 503045136 is 631540305.

It is an interprime number because it is at equal distance from previous prime (503045131) and next prime (503045141).

It is not an unprimeable number, because it can be changed into a prime (503045131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2158876 + ... + 2159108.

It is an arithmetic number, because the mean of its divisors is an integer number (6789744).

Almost surely, 2503045136 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 503045136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814769280).

503045136 is an abundant number, since it is smaller than the sum of its proper divisors (1126493424).

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

503045136 is a wasteful number, since it uses less digits than its factorization.

503045136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 503045136 is about 22428.6677268178. The cubic root of 503045136 is about 795.3085499842.

The spelling of 503045136 in words is "five hundred three million, forty-five thousand, one hundred thirty-six".