Search a number
-
+
818479242 = 23472234483
BaseRepresentation
bin110000110010010…
…000000010001010
32010001010001110000
4300302100002022
53134012313432
6213114503430
726165646600
oct6062200212
92101101400
10818479242
11390012629
121aa134b76
13100753059
147a9b9870
154bcc757c
hex30c9008a

818479242 has 120 divisors (see below), whose sum is σ = 2226682656. Its totient is φ = 223633872.

The previous prime is 818479241. The next prime is 818479279. The reversal of 818479242 is 242974818.

It is not an unprimeable number, because it can be changed into a prime (818479241) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 180333 + ... + 184815.

Almost surely, 2818479242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 818479242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113341328).

818479242 is an abundant number, since it is smaller than the sum of its proper divisors (1408203414).

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

818479242 is a wasteful number, since it uses less digits than its factorization.

818479242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4534 (or 4518 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 818479242 is about 28609.0762171728. The cubic root of 818479242 is about 935.4111804516.

The spelling of 818479242 in words is "eight hundred eighteen million, four hundred seventy-nine thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 49 54 63 69 81 98 126 138 147 161 162 189 207 294 322 378 414 441 483 567 621 882 966 1127 1134 1242 1323 1449 1863 2254 2646 2898 3381 3726 3969 4347 4483 6762 7938 8694 8966 10143 13041 13449 20286 26082 26898 30429 31381 40347 60858 62762 80694 91287 94143 103109 121041 182574 188286 206218 219667 242082 282429 309327 363123 439334 564858 618654 659001 721763 726246 847287 927981 1318002 1443526 1694574 1855962 1977003 2165289 2541861 2783943 3954006 4330578 5052341 5083722 5567886 5931009 6495867 8351829 10104682 11862018 12991734 15157023 16703658 17793027 19487601 30314046 35586054 38975202 45471069 58462803 90942138 116925606 136413207 272826414 409239621 818479242