Search a number
-
+
4050385944 = 23311211812
BaseRepresentation
bin1111000101101011…
…1111110000011000
3101110021111220222020
43301122333300120
531243344322234
61505525454440
7202241466243
oct36132776030
911407456866
104050385944
111799378a00
12950571420
134c71b3697
142a5d0c25a
1518a8c9549
hexf16bfc18

4050385944 has 72 divisors (see below), whose sum is σ = 11139625140. Its totient is φ = 1226350400.

The previous prime is 4050385943. The next prime is 4050385961. The reversal of 4050385944 is 4495830504.

It is a super-2 number, since 2×40503859442 = 32811252590705542272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4050385896 and 4050385905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4050385943) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3429034 + ... + 3430214.

Almost surely, 24050385944 is an apocalyptic number.

4050385944 is a gapful number since it is divisible by the number (44) 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 4050385944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5569812570).

4050385944 is an abundant number, since it is smaller than the sum of its proper divisors (7089239196).

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

4050385944 is a wasteful number, since it uses less digits than its factorization.

4050385944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2393 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 4050385944 is about 63642.6424969925. The cubic root of 4050385944 is about 1594.0384850914.

The spelling of 4050385944 in words is "four billion, fifty million, three hundred eighty-five thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1181 1452 2362 2904 3543 4724 7086 9448 12991 14172 25982 28344 38973 51964 77946 103928 142901 155892 285802 311784 428703 571604 857406 1143208 1394761 1714812 2789522 3429624 4184283 5579044 8368566 11158088 15342371 16737132 30684742 33474264 46027113 61369484 92054226 122738968 168766081 184108452 337532162 368216904 506298243 675064324 1012596486 1350128648 2025192972 4050385944