Search a number
-
+
498969216 = 27321812393
BaseRepresentation
bin11101101111011…
…010101010000000
31021202220021002100
4131233122222000
52010214003331
6121302350400
715236111514
oct3557325200
91252807070
10498969216
11236722a59
1211b12b400
137c4b3b75
144a3a8144
152dc12ae6
hex1dbdaa80

498969216 has 96 divisors (see below), whose sum is σ = 1444372020. Its totient is φ = 165335040.

The previous prime is 498969173. The next prime is 498969223. The reversal of 498969216 is 612969894.

It can be written as a sum of positive squares in 2 ways, for example, as 311169600 + 187799616 = 17640^2 + 13704^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 207316 + ... + 209708.

Almost surely, 2498969216 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 498969216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722186010).

498969216 is an abundant number, since it is smaller than the sum of its proper divisors (945402804).

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

498969216 is a wasteful number, since it uses less digits than its factorization.

498969216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594 (or 2579 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 498969216 is about 22337.6188525098. The cubic root of 498969216 is about 793.1547282104.

The spelling of 498969216 in words is "four hundred ninety-eight million, nine hundred sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 181 192 288 362 384 543 576 724 1086 1152 1448 1629 2172 2393 2896 3258 4344 4786 5792 6516 7179 8688 9572 11584 13032 14358 17376 19144 21537 23168 26064 28716 34752 38288 43074 52128 57432 69504 76576 86148 104256 114864 153152 172296 208512 229728 306304 344592 433133 459456 689184 866266 918912 1299399 1378368 1732532 2598798 2756736 3465064 3898197 5197596 6930128 7796394 10395192 13860256 15592788 20790384 27720512 31185576 41580768 55441024 62371152 83161536 124742304 166323072 249484608 498969216