Search a number
-
+
1152166626 = 233132191661
BaseRepresentation
bin100010010101100…
…1010101011100010
32222022000010111000
41010223022223202
54324423313001
6310154532430
740360153242
oct10453125342
92868003430
101152166626
11541405926
12281a37116
13154917300
14ad03bb22
156b23ca86
hex44acaae2

1152166626 has 96 divisors (see below), whose sum is σ = 2791203840. Its totient is φ = 352123200.

The previous prime is 1152166621. The next prime is 1152166633. The reversal of 1152166626 is 6266612511.

It is not an unprimeable number, because it can be changed into a prime (1152166621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1742736 + ... + 1743396.

It is an arithmetic number, because the mean of its divisors is an integer number (29075040).

Almost surely, 21152166626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1152166626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395601920).

1152166626 is an abundant number, since it is smaller than the sum of its proper divisors (1639037214).

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

1152166626 is a wasteful number, since it uses less digits than its factorization.

1152166626 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 870 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 1152166626 is about 33943.5800410033. The cubic root of 1152166626 is about 1048.3470973367.

The spelling of 1152166626 in words is "one billion, one hundred fifty-two million, one hundred sixty-six thousand, six hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 169 191 234 338 351 382 507 573 661 702 1014 1146 1322 1521 1719 1983 2483 3042 3438 3966 4563 4966 5157 5949 7449 8593 9126 10314 11898 14898 17186 17847 22347 25779 32279 35694 44694 51558 64558 67041 77337 96837 111709 126251 134082 154674 193674 223418 232011 252502 290511 335127 378753 464022 581022 670254 757506 871533 1005381 1136259 1641263 1743066 2010762 2272518 3016143 3282526 3408777 4923789 6032286 6817554 9847578 14771367 21336419 29542734 42672838 44314101 64009257 88628202 128018514 192027771 384055542 576083313 1152166626