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4202004040 = 235138080777
BaseRepresentation
bin1111101001110101…
…0111111001001000
3101211211210220220021
43322131113321020
532101203112130
61532543310224
7206062305433
oct37235277110
911754726807
104202004040
111866a15913
129932ab374
1351c72ac30
142bc0d881a
15198d7837a
hexfa757e48

4202004040 has 32 divisors (see below), whose sum is σ = 10181780280. Its totient is φ = 1551508992.

The previous prime is 4202004007. The next prime is 4202004041. The reversal of 4202004040 is 404002024.

It can be written as a sum of positive squares in 4 ways, for example, as 1849172004 + 2352832036 = 43002^2 + 48506^2 .

It is not an unprimeable number, because it can be changed into a prime (4202004041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4039869 + ... + 4040908.

Almost surely, 24202004040 is an apocalyptic number.

4202004040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4202004040 is an abundant number, since it is smaller than the sum of its proper divisors (5979776240).

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

4202004040 is a wasteful number, since it uses less digits than its factorization.

4202004040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8080801 (or 8080797 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 4202004040 is about 64822.8666444180. The cubic root of 4202004040 is about 1613.6852223269.

Adding to 4202004040 its reverse (404002024), we get a palindrome (4606006064).

The spelling of 4202004040 in words is "four billion, two hundred two million, four thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 8080777 16161554 32323108 40403885 64646216 80807770 105050101 161615540 210100202 323231080 420200404 525250505 840400808 1050501010 2101002020 4202004040