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4202042420 = 225210102121
BaseRepresentation
bin1111101001110110…
…0001010000110100
3101211211212212112202
43322131201100310
532101210324140
61532544204032
7206062525352
oct37235412064
911754785482
104202042420
111866a41734
12993309618
1351c742544
142bc1087d2
15198d84915
hexfa761434

4202042420 has 12 divisors (see below), whose sum is σ = 8824289124. Its totient is φ = 1680816960.

The previous prime is 4202042393. The next prime is 4202042437. The reversal of 4202042420 is 242402024.

4202042420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2421033616 + 1781008804 = 49204^2 + 42202^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 210102121 = 4202042420 / (4 + 2 + 0 + 2 + 0 + 4 + 2 + 4 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 4202042392 and 4202042401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 105051041 + ... + 105051080.

It is an arithmetic number, because the mean of its divisors is an integer number (735357427).

Almost surely, 24202042420 is an apocalyptic number.

It is an amenable number.

4202042420 is an abundant number, since it is smaller than the sum of its proper divisors (4622246704).

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

4202042420 is a wasteful number, since it uses less digits than its factorization.

4202042420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210102130 (or 210102128 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 4202042420 is about 64823.1626812515. The cubic root of 4202042420 is about 1613.6901353041.

Adding to 4202042420 its reverse (242402024), we get a palindrome (4444444444).

The spelling of 4202042420 in words is "four billion, two hundred two million, forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 210102121 420204242 840408484 1050510605 2101021210 4202042420