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506393352 = 23327033241
BaseRepresentation
bin11110001011101…
…111001100001000
31022021212110002100
4132023233030020
52014114041402
6122125433400
715356162313
oct3613571410
91267773070
10506393352
1123a933903
1212170b860
1380bb314a
144b37b97a
152e6cc71c
hex1e2ef308

506393352 has 24 divisors (see below), whose sum is σ = 1371482190. Its totient is φ = 168797760.

The previous prime is 506393351. The next prime is 506393383. The reversal of 506393352 is 253393605.

It can be written as a sum of positive squares in only one way, i.e., 487261476 + 19131876 = 22074^2 + 4374^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (506393351) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3516549 + ... + 3516692.

Almost surely, 2506393352 is an apocalyptic number.

It is an amenable number.

506393352 is an abundant number, since it is smaller than the sum of its proper divisors (865088838).

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

506393352 is a wasteful number, since it uses less digits than its factorization.

506393352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7033253 (or 7033246 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 36.

The square root of 506393352 is about 22503.1853745198. The cubic root of 506393352 is about 797.0691465684.

The spelling of 506393352 in words is "five hundred six million, three hundred ninety-three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 7033241 14066482 21099723 28132964 42199446 56265928 63299169 84398892 126598338 168797784 253196676 506393352