Search a number
-
+
2429808030 = 23651325639
BaseRepresentation
bin1001000011010011…
…1110110110011110
320021100010001000000
42100310332312132
514434012324110
61041035115130
7114133012266
oct22064766636
96240101000
102429808030
111037621811
125798a2aa6
132c9524440
141909bc7a6
15e34b31c0
hex90d3ed9e

2429808030 has 112 divisors (see below), whose sum is σ = 7062179040. Its totient is φ = 598083264.

The previous prime is 2429808023. The next prime is 2429808041. The reversal of 2429808030 is 308089242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 81951 + ... + 107589.

It is an arithmetic number, because the mean of its divisors is an integer number (63055170).

Almost surely, 22429808030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2429808030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3531089520).

2429808030 is an abundant number, since it is smaller than the sum of its proper divisors (4632371010).

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

2429808030 is a wasteful number, since it uses less digits than its factorization.

2429808030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25677 (or 25662 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2429808030 is about 49293.0829833152. The cubic root of 2429808030 is about 1344.3860199373.

The spelling of 2429808030 in words is "two billion, four hundred twenty-nine million, eight hundred eight thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 243 270 351 390 405 486 585 702 729 810 1053 1170 1215 1458 1755 2106 2430 3159 3510 3645 5265 6318 7290 9477 10530 15795 18954 25639 31590 47385 51278 76917 94770 128195 153834 230751 256390 333307 384585 461502 666614 692253 769170 999921 1153755 1384506 1666535 1999842 2076759 2307510 2999763 3333070 3461265 4153518 4999605 5999526 6230277 6922530 8999289 9999210 10383795 12460554 14998815 17998578 18690831 20767590 26997867 29997630 31151385 37381662 44996445 53995734 62302770 80993601 89992890 93454155 134989335 161987202 186908310 242980803 269978670 404968005 485961606 809936010 1214904015 2429808030