Search a number
-
+
455431104 = 26327611039
BaseRepresentation
bin11011001001010…
…101001111000000
31011201222022000200
4123021111033000
51413042243404
6113105245200
714200046322
oct3311251700
91151868020
10455431104
11214096147
12108633800
137347ba7b
14446b3612
1529eb2839
hex1b2553c0

455431104 has 84 divisors (see below), whose sum is σ = 1308384480. Its totient is φ = 151464960.

The previous prime is 455431079. The next prime is 455431127. The reversal of 455431104 is 401134554.

It is a happy number.

455431104 is a `hidden beast` number, since 4 + 5 + 543 + 110 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 437817 + ... + 438855.

Almost surely, 2455431104 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 455431104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654192240).

455431104 is an abundant number, since it is smaller than the sum of its proper divisors (852953376).

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

455431104 is a wasteful number, since it uses less digits than its factorization.

455431104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 455431104 is about 21340.8318488291. The cubic root of 455431104 is about 769.3800057856.

Adding to 455431104 its reverse (401134554), we get a palindrome (856565658).

It can be divided in two parts, 455431 and 104, that added together give a triangular number (455535 = T954).

The spelling of 455431104 in words is "four hundred fifty-five million, four hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 761 1039 1522 2078 2283 3044 3117 4156 4566 6088 6234 6849 8312 9132 9351 12176 12468 13698 16624 18264 18702 24352 24936 27396 33248 36528 37404 48704 49872 54792 66496 73056 74808 99744 109584 146112 149616 199488 219168 299232 438336 598464 790679 1581358 2372037 3162716 4744074 6325432 7116111 9488148 12650864 14232222 18976296 25301728 28464444 37952592 50603456 56928888 75905184 113857776 151810368 227715552 455431104