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424052532 = 223211779237
BaseRepresentation
bin11001010001101…
…000011100110100
31002112221002201100
4121101220130310
51332024140112
6110024530100
713336246521
oct3121503464
91075832640
10424052532
111a8403a42
12ba020930
1369b13477
1440466148
15273652dc
hex19468734

424052532 has 18 divisors (see below), whose sum is σ = 1071910658. Its totient is φ = 141350832.

The previous prime is 424052527. The next prime is 424052533. The reversal of 424052532 is 235250424.

It is a happy number.

424052532 is a `hidden beast` number, since 4 + 2 + 405 + 253 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 380016036 + 44036496 = 19494^2 + 6636^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×4240525322 = 359641099791222048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 424052496 and 424052505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424052533) 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 5 ways as a sum of consecutive naturals, for example, 5889583 + ... + 5889654.

Almost surely, 2424052532 is an apocalyptic number.

It is an amenable number.

424052532 is an abundant number, since it is smaller than the sum of its proper divisors (647858126).

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

424052532 is a wasteful number, since it uses less digits than its factorization.

424052532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11779247 (or 11779242 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 424052532 is about 20592.5358321893. The cubic root of 424052532 is about 751.2881755383.

The spelling of 424052532 in words is "four hundred twenty-four million, fifty-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 11779237 23558474 35337711 47116948 70675422 106013133 141350844 212026266 424052532