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4042772404 = 2211635914449
BaseRepresentation
bin1111000011110111…
…1100111110110100
3101102202012010011021
43300331330332310
531234422204104
61505054350524
7202116666316
oct36075747664
911382163137
104042772404
111795048820
12949abb444
134c5749128
142a4cc97b6
15189dc3754
hexf0f7cfb4

4042772404 has 24 divisors (see below), whose sum is σ = 7719768000. Its totient is φ = 1837207680.

The previous prime is 4042772387. The next prime is 4042772407.

4042772404 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 4042772404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042772407) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 272572 + ... + 287020.

It is an arithmetic number, because the mean of its divisors is an integer number (321657000).

Almost surely, 24042772404 is an apocalyptic number.

4042772404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4042772404 is a deficient number, since it is larger than the sum of its proper divisors (3676995596).

4042772404 is a wasteful number, since it uses less digits than its factorization.

4042772404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20823 (or 20821 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 34.

The square root of 4042772404 is about 63582.7995923426. The cubic root of 4042772404 is about 1593.0390833799.

The spelling of 4042772404 in words is "four billion, forty-two million, seven hundred seventy-two thousand, four hundred four".

Divisors: 1 2 4 11 22 44 6359 12718 14449 25436 28898 57796 69949 139898 158939 279796 317878 635756 91881191 183762382 367524764 1010693101 2021386202 4042772404