Search a number
-
+
2029589046 = 232233723581
BaseRepresentation
bin111100011111001…
…0001001000110110
312020110000210202200
41320332101020312
513124033322141
6533221045330
7101203136142
oct17076211066
95213023680
102029589046
11951717321
12487856846
13264637284
1415379c222
15bd2a9ab6
hex78f91236

2029589046 has 72 divisors (see below), whose sum is σ = 4717322064. Its totient is φ = 629449920.

The previous prime is 2029589027. The next prime is 2029589057. The reversal of 2029589046 is 6409859202.

2029589046 is a `hidden beast` number, since 2 + 0 + 29 + 589 + 0 + 46 = 666.

2029589046 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2029588992 and 2029589010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 564976 + ... + 568556.

It is an arithmetic number, because the mean of its divisors is an integer number (65518362).

Almost surely, 22029589046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2029589046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358661032).

2029589046 is an abundant number, since it is smaller than the sum of its proper divisors (2687733018).

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

2029589046 is a wasteful number, since it uses less digits than its factorization.

2029589046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3686 (or 3646 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 2029589046 is about 45050.9605446987. The cubic root of 2029589046 is about 1266.1039686108.

The spelling of 2029589046 in words is "two billion, twenty-nine million, five hundred eighty-nine thousand, forty-six".

Divisors: 1 2 3 6 9 18 23 37 46 69 74 111 138 207 222 333 414 666 851 1369 1702 2553 2738 3581 4107 5106 7162 7659 8214 10743 12321 15318 21486 24642 31487 32229 62974 64458 82363 94461 132497 164726 188922 247089 264994 283383 397491 494178 566766 741267 794982 1192473 1482534 2384946 3047431 4902389 6094862 9142293 9804778 14707167 18284586 27426879 29414334 44121501 54853758 88243002 112754947 225509894 338264841 676529682 1014794523 2029589046