Search a number
-
+
494263392 = 25372179587
BaseRepresentation
bin11101011101011…
…101110001100000
31021110001011220120
4131131131301200
52003012412032
6121013440240
715151112100
oct3535356140
91243034816
10494263392
11233aa9447
12119640080
137b526c5c
1449901200
152d5d362c
hex1d75dc60

494263392 has 144 divisors (see below), whose sum is σ = 1520285760. Its totient is φ = 140189952.

The previous prime is 494263391. The next prime is 494263417. The reversal of 494263392 is 293362494.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (494263391) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 841723 + ... + 842309.

It is an arithmetic number, because the mean of its divisors is an integer number (10557540).

Almost surely, 2494263392 is an apocalyptic number.

494263392 is a gapful number since it is divisible by the number (42) 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 494263392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760142880).

494263392 is an abundant number, since it is smaller than the sum of its proper divisors (1026022368).

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

494263392 is a wasteful number, since it uses less digits than its factorization.

494263392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 778 counting only the distinct ones).

The product of its digits is 279936, while the sum is 42.

The square root of 494263392 is about 22232.0352644557. The cubic root of 494263392 is about 790.6534101702.

The spelling of 494263392 in words is "four hundred ninety-four million, two hundred sixty-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 179 196 224 294 336 358 392 537 587 588 672 716 784 1074 1174 1176 1253 1432 1568 1761 2148 2348 2352 2506 2864 3522 3759 4109 4296 4696 4704 5012 5728 7044 7518 8218 8592 8771 9392 10024 12327 14088 15036 16436 17184 17542 18784 20048 24654 26313 28176 28763 30072 32872 35084 40096 49308 52626 56352 57526 60144 65744 70168 86289 98616 105073 105252 115052 120288 131488 140336 172578 197232 210146 210504 230104 280672 315219 345156 394464 420292 421008 460208 630438 690312 735511 840584 842016 920416 1260876 1380624 1471022 1681168 2206533 2521752 2761248 2942044 3362336 4413066 5043504 5148577 5884088 8826132 10087008 10297154 11768176 15445731 17652264 20594308 23536352 30891462 35304528 41188616 61782924 70609056 82377232 123565848 164754464 247131696 494263392