Search a number
-
+
1838062144 = 26411375113
BaseRepresentation
bin110110110001110…
…1001101001000000
311202002122020020201
41231203221221000
512231020442034
6502220014544
763356161522
oct15543515100
94662566221
101838062144
118635a1326
12433691454
13233a58849
14136183a12
15ab576014
hex6d8e9a40

1838062144 has 56 divisors (see below), whose sum is σ = 3764374488. Its totient is φ = 889896960.

The previous prime is 1838062099. The next prime is 1838062159. The reversal of 1838062144 is 4412608381.

It can be written as a sum of positive squares in 4 ways, for example, as 64641600 + 1773420544 = 8040^2 + 42112^2 .

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, 356932 + ... + 362044.

It is an arithmetic number, because the mean of its divisors is an integer number (67220973).

Almost surely, 21838062144 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 1838062144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882187244).

1838062144 is an abundant number, since it is smaller than the sum of its proper divisors (1926312344).

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

1838062144 is a wasteful number, since it uses less digits than its factorization.

1838062144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5303 (or 5293 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 1838062144 is about 42872.6269780614. The cubic root of 1838062144 is about 1224.9547991652.

The spelling of 1838062144 in words is "one billion, eight hundred thirty-eight million, sixty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 41 64 82 137 164 274 328 548 656 1096 1312 2192 2624 4384 5113 5617 8768 10226 11234 20452 22468 40904 44936 81808 89872 163616 179744 209633 327232 359488 419266 700481 838532 1400962 1677064 2801924 3354128 5603848 6708256 11207696 13416512 22415392 28719721 44830784 57439442 114878884 229757768 459515536 919031072 1838062144