Search a number
-
+
2058384928 = 25478211667
BaseRepresentation
bin111101010110000…
…0111011000100000
312022110012210021211
41322230013120200
513203421304203
6540130155504
7102002661145
oct17254073040
95273183254
102058384928
119669a5076
12495422b94
1326a5aa162
141575363cc
15c0a96c6d
hex7ab07620

2058384928 has 48 divisors (see below), whose sum is σ = 4146194304. Its totient is φ = 1005464320.

The previous prime is 2058384919. The next prime is 2058384941. The reversal of 2058384928 is 8294838502.

It is a happy number.

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, 1233951 + ... + 1235617.

It is an arithmetic number, because the mean of its divisors is an integer number (86379048).

Almost surely, 22058384928 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 2058384928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2073097152).

2058384928 is an abundant number, since it is smaller than the sum of its proper divisors (2087809376).

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

2058384928 is a wasteful number, since it uses less digits than its factorization.

2058384928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2545 (or 2537 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 49.

The square root of 2058384928 is about 45369.4272390560. The cubic root of 2058384928 is about 1272.0637139611.

The spelling of 2058384928 in words is "two billion, fifty-eight million, three hundred eighty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 47 94 188 376 752 821 1504 1642 1667 3284 3334 6568 6668 13136 13336 26272 26672 38587 53344 77174 78349 154348 156698 308696 313396 617392 626792 1234784 1253584 1368607 2507168 2737214 5474428 10948856 21897712 43795424 64324529 128649058 257298116 514596232 1029192464 2058384928