Search a number
-
+
454481136 = 243222314153
BaseRepresentation
bin11011000101101…
…101010011110000
31011200012000220200
4123011231103300
51412321344021
6113033035200
714156011614
oct3305552360
91150160820
10454481136
112135a744a
12108255b00
1373208565
1444507344
1529d76126
hex1b16d4f0

454481136 has 60 divisors (see below), whose sum is σ = 1277709888. Its totient is φ = 150803712.

The previous prime is 454481119. The next prime is 454481221. The reversal of 454481136 is 631184454.

454481136 is a `hidden beast` number, since 4 + 544 + 81 + 1 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 454481136.

It is a congruent number.

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, 25036 + ... + 39188.

Almost surely, 2454481136 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 454481136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638854944).

454481136 is an abundant number, since it is smaller than the sum of its proper divisors (823228752).

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

454481136 is a wasteful number, since it uses less digits than its factorization.

454481136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14390 (or 14381 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 454481136 is about 21318.5631786009. The cubic root of 454481136 is about 768.8446923610.

The spelling of 454481136 in words is "four hundred fifty-four million, four hundred eighty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 223 446 669 892 1338 1784 2007 2676 3568 4014 5352 8028 10704 14153 16056 28306 32112 42459 56612 84918 113224 127377 169836 226448 254754 339672 509508 679344 1019016 2038032 3156119 6312238 9468357 12624476 18936714 25248952 28405071 37873428 50497904 56810142 75746856 113620284 151493712 227240568 454481136