Search a number
-
+
4202113616 = 242324112109
BaseRepresentation
bin1111101001110111…
…0010101001010000
3101211212000111012122
43322131302221100
532101220113431
61532545513412
7206063243051
oct37235625120
911755014178
104202113616
111866a90178
12993342868
1351c768a7c
142bc126728
15198d9aa7b
hexfa772a50

4202113616 has 60 divisors (see below), whose sum is σ = 8719272660. Its totient is φ = 1960527360.

The previous prime is 4202113607. The next prime is 4202113633. The reversal of 4202113616 is 6163112024.

It can be written as a sum of positive squares in 2 ways, for example, as 2449854016 + 1752259600 = 49496^2 + 41860^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 340970 + ... + 353078.

It is an arithmetic number, because the mean of its divisors is an integer number (145321211).

Almost surely, 24202113616 is an apocalyptic number.

4202113616 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4202113616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4359636330).

4202113616 is an abundant number, since it is smaller than the sum of its proper divisors (4517159044).

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

4202113616 is a wasteful number, since it uses less digits than its factorization.

4202113616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12204 (or 12175 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 4202113616 is about 64823.7118344823. The cubic root of 4202113616 is about 1613.6992489384.

The spelling of 4202113616 in words is "four billion, two hundred two million, one hundred thirteen thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 23 41 46 82 92 164 184 328 368 529 656 943 1058 1886 2116 3772 4232 7544 8464 12109 15088 21689 24218 43378 48436 86756 96872 173512 193744 278507 347024 496469 557014 992938 1114028 1985876 2228056 3971752 4456112 6405661 7943504 11418787 12811322 22837574 25622644 45675148 51245288 91350296 102490576 182700592 262632101 525264202 1050528404 2101056808 4202113616