Search a number
-
+
2058804384 = 2537213131257
BaseRepresentation
bin111101010110110…
…1101110010100000
312022111000002200020
41322231231302200
513204023220014
6540143153440
7102006356100
oct17255556240
95274002606
102058804384
1196716122a
124955a5880
1326a6c6060
14157605200
15c0b2b1a9
hex7ab6dca0

2058804384 has 288 divisors, whose sum is σ = 6848525376. Its totient is φ = 536739840.

The previous prime is 2058804383. The next prime is 2058804389. The reversal of 2058804384 is 4834088502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2058804383) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8010784 + ... + 8011040.

It is an arithmetic number, because the mean of its divisors is an integer number (23779602).

Almost surely, 22058804384 is an apocalyptic number.

2058804384 is a gapful number since it is divisible by the number (24) 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 2058804384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3424262688).

2058804384 is an abundant number, since it is smaller than the sum of its proper divisors (4789720992).

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

2058804384 is a wasteful number, since it uses less digits than its factorization.

2058804384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The square root of 2058804384 is about 45374.0496759987. The cubic root of 2058804384 is about 1272.1501147941.

The spelling of 2058804384 in words is "two billion, fifty-eight million, eight hundred four thousand, three hundred eighty-four".