Search a number
-
+
609106992 = 243131815393
BaseRepresentation
bin100100010011100…
…011110000110000
31120110010211201020
4210103203300300
52221412410432
6140235135440
721044216064
oct4423436060
91513124636
10609106992
1129290910a
1214bba4580
1399266b50
145ac77aa4
153871b22c
hex244e3c30

609106992 has 80 divisors (see below), whose sum is σ = 1704245088. Its totient is φ = 186347520.

The previous prime is 609106937. The next prime is 609107017. The reversal of 609106992 is 299601906.

It is a happy number.

It is a super-2 number, since 2×6091069922 = 742022655406576128, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110248 + ... + 115640.

Almost surely, 2609106992 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 609106992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852122544).

609106992 is an abundant number, since it is smaller than the sum of its proper divisors (1095138096).

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

609106992 is a wasteful number, since it uses less digits than its factorization.

609106992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5598 (or 5592 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 42.

The square root of 609106992 is about 24680.0930306188. The cubic root of 609106992 is about 847.6785523676.

The spelling of 609106992 in words is "six hundred nine million, one hundred six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 181 208 312 362 543 624 724 1086 1448 2172 2353 2896 4344 4706 5393 7059 8688 9412 10786 14118 16179 18824 21572 28236 32358 37648 43144 56472 64716 70109 86288 112944 129432 140218 210327 258864 280436 420654 560872 841308 976133 1121744 1682616 1952266 2928399 3365232 3904532 5856798 7809064 11713596 12689729 15618128 23427192 25379458 38069187 46854384 50758916 76138374 101517832 152276748 203035664 304553496 609106992