Search a number
-
+
2048502258 = 2331131532099
BaseRepresentation
bin111101000011001…
…1010100111110010
312021202121200211000
41322012122213302
513143404033013
6535134302430
7101522660535
oct17206324762
95252550730
102048502258
11961365080
12492057a16
13268529b1a
141560c2a1c
15bec93973
hex7a19a9f2

2048502258 has 128 divisors (see below), whose sum is σ = 5225472000. Its totient is φ = 589118400.

The previous prime is 2048502223. The next prime is 2048502259. The reversal of 2048502258 is 8522058402.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2048502259) 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 63 ways as a sum of consecutive naturals, for example, 974893 + ... + 976991.

It is an arithmetic number, because the mean of its divisors is an integer number (40824000).

Almost surely, 22048502258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2048502258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612736000).

2048502258 is an abundant number, since it is smaller than the sum of its proper divisors (3176969742).

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

2048502258 is a wasteful number, since it uses less digits than its factorization.

2048502258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2205 (or 2199 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 2048502258 is about 45260.3828750929. The cubic root of 2048502258 is about 1270.0246462243.

The spelling of 2048502258 in words is "two billion, forty-eight million, five hundred two thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 53 54 62 66 93 99 106 159 186 198 279 297 318 341 477 558 583 594 682 837 954 1023 1166 1431 1643 1674 1749 2046 2099 2862 3069 3286 3498 4198 4929 5247 6138 6297 9207 9858 10494 12594 14787 15741 18073 18414 18891 23089 29574 31482 36146 37782 44361 46178 54219 56673 65069 69267 88722 108438 111247 113346 130138 138534 162657 195207 207801 222494 325314 333741 390414 415602 487971 585621 623403 667482 715759 975942 1001223 1171242 1223717 1246806 1431518 1756863 2002446 2147277 2447434 3003669 3448657 3513726 3671151 4294554 6007338 6441831 6897314 7342302 10345971 11013453 12883662 19325493 20691942 22026906 31037913 33040359 37935227 38650986 62075826 66080718 75870454 93113739 113805681 186227478 227611362 341417043 682834086 1024251129 2048502258