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2642264244 = 223273396229
BaseRepresentation
bin1001110101111101…
…1100000010110100
320211010212221010200
42131133130002310
520402404423434
61114104520500
7122322606204
oct23537340264
96733787120
102642264244
111136542264
12618a80130
13331550289
141b0cc4404
15106e7d199
hex9d7dc0b4

2642264244 has 18 divisors (see below), whose sum is σ = 6679056930. Its totient is φ = 880754736.

The previous prime is 2642264221. The next prime is 2642264249. The reversal of 2642264244 is 4424622462.

2642264244 is a `hidden beast` number, since 2 + 6 + 4 + 2 + 2 + 642 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2176222500 + 466041744 = 46650^2 + 21588^2 .

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: 73396229 = 2642264244 / (2 + 6 + 4 + 2 + 2 + 6 + 4 + 2 + 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 = 2642264199 and 2642264208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2642264249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36698079 + ... + 36698150.

It is a self-describing number.

Almost surely, 22642264244 is an apocalyptic number.

It is an amenable number.

2642264244 is an abundant number, since it is smaller than the sum of its proper divisors (4036792686).

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

2642264244 is a wasteful number, since it uses less digits than its factorization.

2642264244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73396239 (or 73396234 counting only the distinct ones).

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

The square root of 2642264244 is about 51402.9594867844. The cubic root of 2642264244 is about 1382.4796564363.

The spelling of 2642264244 in words is "two billion, six hundred forty-two million, two hundred sixty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 73396229 146792458 220188687 293584916 440377374 660566061 880754748 1321132122 2642264244