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4242274336 = 25532938537
BaseRepresentation
bin1111110011011011…
…1111100000100000
3101221122120212100201
43330312333200200
532142010234321
61540542354544
7210061510516
oct37466774040
911848525321
104242274336
111887720553
129a488ba54
13527b8a801
142c35bc4b6
1519c680291
hexfcdbf820

4242274336 has 48 divisors (see below), whose sum is σ = 8539605144. Its totient is φ = 2073769984.

The previous prime is 4242274327. The next prime is 4242274369. The reversal of 4242274336 is 6334722424.

It can be written as a sum of positive squares in 4 ways, for example, as 4047504400 + 194769936 = 63620^2 + 13956^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4242274295 and 4242274304.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 492660 + ... + 501196.

Almost surely, 24242274336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4242274336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4269802572).

4242274336 is an abundant number, since it is smaller than the sum of its proper divisors (4297330808).

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

4242274336 is a wasteful number, since it uses less digits than its factorization.

4242274336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8893 (or 8885 counting only the distinct ones).

The product of its digits is 193536, while the sum is 37.

The square root of 4242274336 is about 65132.7439618507. The cubic root of 4242274336 is about 1618.8238091477.

The spelling of 4242274336 in words is "four billion, two hundred forty-two million, two hundred seventy-four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 53 106 212 293 424 586 848 1172 1696 2344 4688 8537 9376 15529 17074 31058 34148 62116 68296 124232 136592 248464 273184 452461 496928 904922 1809844 2501341 3619688 5002682 7239376 10005364 14478752 20010728 40021456 80042912 132571073 265142146 530284292 1060568584 2121137168 4242274336