Search a number
-
+
1649089860 = 2235116140961
BaseRepresentation
bin110001001001011…
…0001110101000100
311020221001110000020
41202102301311010
511334131333420
6431345415140
755603014105
oct14222616504
94227043006
101649089860
11776960690
123a033a4b0
13203862b22
141190323ac
1599b99340
hex624b1d44

1649089860 has 96 divisors (see below), whose sum is σ = 5119922304. Its totient is φ = 393216000.

The previous prime is 1649089847. The next prime is 1649089877. The reversal of 1649089860 is 689809461.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19780 + ... + 60740.

It is an arithmetic number, because the mean of its divisors is an integer number (53332524).

Almost surely, 21649089860 is an apocalyptic number.

1649089860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1649089860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2559961152).

1649089860 is an abundant number, since it is smaller than the sum of its proper divisors (3470832444).

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

1649089860 is a wasteful number, since it uses less digits than its factorization.

1649089860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41045 (or 41043 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 1649089860 is about 40608.9874288931. The cubic root of 1649089860 is about 1181.4484415641.

The spelling of 1649089860 in words is "one billion, six hundred forty-nine million, eighty-nine thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 61 66 110 122 132 165 183 220 244 305 330 366 610 660 671 732 915 1220 1342 1830 2013 2684 3355 3660 4026 6710 8052 10065 13420 20130 40260 40961 81922 122883 163844 204805 245766 409610 450571 491532 614415 819220 901142 1228830 1351713 1802284 2252855 2457660 2498621 2703426 4505710 4997242 5406852 6758565 7495863 9011420 9994484 12493105 13517130 14991726 24986210 27034260 27484831 29983452 37479315 49972420 54969662 74958630 82454493 109939324 137424155 149917260 164908986 274848310 329817972 412272465 549696620 824544930 1649089860