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424642644 = 223211795629
BaseRepresentation
bin11001010011111…
…000100001010100
31002121001002012100
4121103320201110
51332202031034
6110045322100
713344255126
oct3123704124
91077032170
10424642644
111a8777338
12ba266330
1369c8bc4a
144057b216
1527430099
hex194f8854

424642644 has 18 divisors (see below), whose sum is σ = 1073402330. Its totient is φ = 141547536.

The previous prime is 424642639. The next prime is 424642651. The reversal of 424642644 is 446246424.

424642644 is a `hidden beast` number, since 4 + 2 + 4 + 6 + 4 + 2 + 644 = 666.

It can be written as a sum of positive squares in only one way, i.e., 395612100 + 29030544 = 19890^2 + 5388^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 11795629 = 424642644 / (4 + 2 + 4 + 6 + 4 + 2 + 6 + 4 + 4).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 424642599 and 424642608.

It is a congruent number.

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, 5897779 + ... + 5897850.

Almost surely, 2424642644 is an apocalyptic number.

It is an amenable number.

424642644 is an abundant number, since it is smaller than the sum of its proper divisors (648759686).

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

424642644 is a wasteful number, since it uses less digits than its factorization.

424642644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11795639 (or 11795634 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The square root of 424642644 is about 20606.8591493221. The cubic root of 424642644 is about 751.6365118414.

The spelling of 424642644 in words is "four hundred twenty-four million, six hundred forty-two thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 11795629 23591258 35386887 47182516 70773774 106160661 141547548 212321322 424642644