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424024002 = 23223556889
BaseRepresentation
bin11001010001100…
…001011111000010
31002112212122120200
4121101201133002
51332022232002
6110024150030
713336100403
oct3121413702
91075778520
10424024002
111a8394566
12ba008316
1369b0349c
14404599aa
152735bb1c
hex194617c2

424024002 has 12 divisors (see below), whose sum is σ = 918718710. Its totient is φ = 141341328.

The previous prime is 424023997. The next prime is 424024031. The reversal of 424024002 is 200420424.

424024002 is a `hidden beast` number, since 424 + 0 + 240 + 0 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 362102841 + 61921161 = 19029^2 + 7869^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 23556889 = 424024002 / (4 + 2 + 4 + 0 + 2 + 4 + 0 + 0 + 2).

It is an unprimeable number.

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, 11778427 + ... + 11778462.

Almost surely, 2424024002 is an apocalyptic number.

424024002 is an abundant number, since it is smaller than the sum of its proper divisors (494694708).

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

424024002 is a wasteful number, since it uses less digits than its factorization.

424024002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23556897 (or 23556894 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 424024002 is about 20591.8430938078. The cubic root of 424024002 is about 751.2713264212.

Adding to 424024002 its reverse (200420424), we get a palindrome (624444426).

The spelling of 424024002 in words is "four hundred twenty-four million, twenty-four thousand, two".

Divisors: 1 2 3 6 9 18 23556889 47113778 70670667 141341334 212012001 424024002