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506206752 = 2535272987
BaseRepresentation
bin11110001011000…
…001101000100000
31022021111222010020
4132023001220200
52014042104002
6122121433440
715354454302
oct3613015040
91267458106
10506206752
1123a816697
1212163b880
1380b4922c
144b32d972
152e6922bc
hex1e2c1a20

506206752 has 24 divisors (see below), whose sum is σ = 1328792976. Its totient is φ = 168735552.

The previous prime is 506206751. The next prime is 506206801. The reversal of 506206752 is 257602605.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (506206751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2636398 + ... + 2636589.

It is an arithmetic number, because the mean of its divisors is an integer number (55366374).

Almost surely, 2506206752 is an apocalyptic number.

It is an amenable number.

506206752 is an abundant number, since it is smaller than the sum of its proper divisors (822586224).

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

506206752 is a wasteful number, since it uses less digits than its factorization.

506206752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5273000 (or 5272992 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 506206752 is about 22499.0389128069. The cubic root of 506206752 is about 796.9712310022.

The spelling of 506206752 in words is "five hundred six million, two hundred six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 5272987 10545974 15818961 21091948 31637922 42183896 63275844 84367792 126551688 168735584 253103376 506206752