Search a number
-
+
5058207210 = 235747677649
BaseRepresentation
bin1001011010111111…
…00001110111101010
3111001111220112211210
410231133201313222
540324400112320
62153530533550
7236230023540
oct45537416752
914044815753
105058207210
112166253a41
12b91b972b6
13627c2b824
1435dad3d90
151e91030e0
hex12d7e1dea

5058207210 has 128 divisors (see below), whose sum is σ = 14382489600. Its totient is φ = 1114527744.

The previous prime is 5058207179. The next prime is 5058207223. The reversal of 5058207210 is 127028505.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 657466 + ... + 665114.

It is an arithmetic number, because the mean of its divisors is an integer number (112363200).

Almost surely, 25058207210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5058207210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7191244800).

5058207210 is an abundant number, since it is smaller than the sum of its proper divisors (9324282390).

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

5058207210 is a wasteful number, since it uses less digits than its factorization.

5058207210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7780.

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 5058207210 is about 71121.0743029097. The cubic root of 5058207210 is about 1716.5858914874.

The spelling of 5058207210 in words is "five billion, fifty-eight million, two hundred seven thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 47 67 70 94 105 134 141 201 210 235 282 329 335 402 469 470 658 670 705 938 987 1005 1407 1410 1645 1974 2010 2345 2814 3149 3290 4690 4935 6298 7035 7649 9447 9870 14070 15298 15745 18894 22043 22947 31490 38245 44086 45894 47235 53543 66129 76490 94470 107086 110215 114735 132258 160629 220430 229470 267715 321258 330645 359503 512483 535430 661290 719006 803145 1024966 1078509 1537449 1606290 1797515 2157018 2516521 2562415 3074898 3587381 3595030 5033042 5124830 5392545 7174762 7549563 7687245 10762143 10785090 12582605 15099126 15374490 17936905 21524286 24086701 25165210 35873810 37747815 48173402 53810715 72260103 75495630 107621430 120433505 144520206 168606907 240867010 337213814 361300515 505820721 722601030 843034535 1011641442 1686069070 2529103605 5058207210