Search a number
-
+
494701416 = 2332112232801
BaseRepresentation
bin11101011111001…
…000101101101000
31021110212102202200
4131133020231220
52003120421131
6121031100200
715154615116
oct3537105550
91243772680
10494701416
11234278550
12119811660
137b64b441
14499b6ab6
152d66d2e6
hex1d7c8b68

494701416 has 96 divisors (see below), whose sum is σ = 1468696320. Its totient is φ = 149184000.

The previous prime is 494701391. The next prime is 494701453. The reversal of 494701416 is 614107494.

494701416 is a `hidden beast` number, since 49 + 470 + 141 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175216 + ... + 178016.

It is an arithmetic number, because the mean of its divisors is an integer number (15298920).

Almost surely, 2494701416 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 494701416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734348160).

494701416 is an abundant number, since it is smaller than the sum of its proper divisors (973994904).

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

494701416 is a wasteful number, since it uses less digits than its factorization.

494701416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3047 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 494701416 is about 22241.8842726960. The cubic root of 494701416 is about 790.8869043753.

The spelling of 494701416 in words is "four hundred ninety-four million, seven hundred one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 223 264 396 446 669 792 892 1338 1784 2007 2453 2676 2801 4014 4906 5352 5602 7359 8028 8403 9812 11204 14718 16056 16806 19624 22077 22408 25209 29436 30811 33612 44154 50418 58872 61622 67224 88308 92433 100836 123244 176616 184866 201672 246488 277299 369732 554598 624623 739464 1109196 1249246 1873869 2218392 2498492 3747738 4996984 5621607 6870853 7495476 11243214 13741706 14990952 20612559 22486428 27483412 41225118 44972856 54966824 61837677 82450236 123675354 164900472 247350708 494701416