Search a number
-
+
450096096 = 25326317827
BaseRepresentation
bin11010110100111…
…110101111100000
31011100221020202210
4122310332233200
51410211033341
6112355042120
714103516342
oct3264765740
91140836683
10450096096
1121108194a
121068a0340
1372331668
1443ac5292
15297abc16
hex1ad3ebe0

450096096 has 48 divisors (see below), whose sum is σ = 1186061184. Its totient is φ = 149453184.

The previous prime is 450096091. The next prime is 450096103. The reversal of 450096096 is 690690054.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450096091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16335 + ... + 34161.

It is an arithmetic number, because the mean of its divisors is an integer number (24709608).

Almost surely, 2450096096 is an apocalyptic number.

It is an amenable number.

450096096 is an abundant number, since it is smaller than the sum of its proper divisors (735965088).

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

450096096 is a wasteful number, since it uses less digits than its factorization.

450096096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18103 (or 18095 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 450096096 is about 21215.4683191298. The cubic root of 450096096 is about 766.3639761195.

The spelling of 450096096 in words is "four hundred fifty million, ninety-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 263 526 789 1052 1578 2104 3156 4208 6312 8416 12624 17827 25248 35654 53481 71308 106962 142616 213924 285232 427848 570464 855696 1711392 4688501 9377002 14065503 18754004 28131006 37508008 56262012 75016016 112524024 150032032 225048048 450096096