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500075136 = 273211193167
BaseRepresentation
bin11101110011101…
…000101010000000
31021211222110010100
4131303220222000
52011004401021
6121342202400
715251366001
oct3563505200
91254873110
10500075136
11237308940
1211b583400
137c7b0362
144a5b51a8
152dd80626
hex1dce8a80

500075136 has 384 divisors, whose sum is σ = 1731225600. Its totient is φ = 136857600.

The previous prime is 500075053. The next prime is 500075137. The reversal of 500075136 is 631570005.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (500075137) 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 47 ways as a sum of consecutive naturals, for example, 7463775 + ... + 7463841.

It is an arithmetic number, because the mean of its divisors is an integer number (4508400).

Almost surely, 2500075136 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 500075136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865612800).

500075136 is an abundant number, since it is smaller than the sum of its proper divisors (1231150464).

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

500075136 is a wasteful number, since it uses less digits than its factorization.

500075136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 500075136 is about 22362.3598039205. The cubic root of 500075136 is about 793.7402809813.

The spelling of 500075136 in words is "five hundred million, seventy-five thousand, one hundred thirty-six".