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420424024 = 23471118149
BaseRepresentation
bin11001000011110…
…010100101011000
31002022002202100011
4121003302211120
51330112032044
6105415051304
713263355006
oct3103624530
91068082304
10420424024
111a6355879
12b8970b34
1369142a17
143db9da76
1526d9a134
hex190f2958

420424024 has 16 divisors (see below), whose sum is σ = 805068000. Its totient is φ = 205739232.

The previous prime is 420423989. The next prime is 420424027.

420424024 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 420423986 and 420424004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420424027) 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 3 ways as a sum of consecutive naturals, for example, 558699 + ... + 559450.

It is an arithmetic number, because the mean of its divisors is an integer number (50316750).

Almost surely, 2420424024 is an apocalyptic number.

It is an amenable number.

420424024 is a deficient number, since it is larger than the sum of its proper divisors (384643976).

420424024 is a wasteful number, since it uses less digits than its factorization.

420424024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118202 (or 1118198 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 420424024 is about 20504.2440484891. The cubic root of 420424024 is about 749.1391747215.

The spelling of 420424024 in words is "four hundred twenty million, four hundred twenty-four thousand, twenty-four".

Divisors: 1 2 4 8 47 94 188 376 1118149 2236298 4472596 8945192 52553003 105106006 210212012 420424024