Search a number
-
+
4628443620 = 22351371493779
BaseRepresentation
bin1000100111110000…
…00111000111100100
3102221120020022000210
410103320013013210
533434340143440
62043135335420
7222461056503
oct42370070744
912846208023
104628443620
111a656aa219
12a92081570
13589b98a48
1431c9c283a
151c1510a80
hex113e071e4

4628443620 has 96 divisors (see below), whose sum is σ = 13145328000. Its totient is φ = 1216697344.

The previous prime is 4628443597. The next prime is 4628443639. The reversal of 4628443620 is 263448264.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1222891 + ... + 1226669.

It is an arithmetic number, because the mean of its divisors is an integer number (136930500).

Almost surely, 24628443620 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 4628443620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6572664000).

4628443620 is an abundant number, since it is smaller than the sum of its proper divisors (8516884380).

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

4628443620 is a wasteful number, since it uses less digits than its factorization.

4628443620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4077 (or 4075 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 39.

The square root of 4628443620 is about 68032.6658304671. The cubic root of 4628443620 is about 1666.5243333562.

The spelling of 4628443620 in words is "four billion, six hundred twenty-eight million, four hundred forty-three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 137 149 274 298 411 447 548 596 685 745 822 894 1370 1490 1644 1788 2055 2235 2740 2980 3779 4110 4470 7558 8220 8940 11337 15116 18895 20413 22674 37790 40826 45348 56685 61239 75580 81652 102065 113370 122478 204130 226740 244956 306195 408260 517723 563071 612390 1035446 1126142 1224780 1553169 1689213 2070892 2252284 2588615 2815355 3106338 3378426 5177230 5630710 6212676 6756852 7765845 8446065 10354460 11261420 15531690 16892130 31063380 33784260 77140727 154281454 231422181 308562908 385703635 462844362 771407270 925688724 1157110905 1542814540 2314221810 4628443620