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450329112 = 233315113807
BaseRepresentation
bin11010110101110…
…111101000011000
31011101101002102000
4122311313220120
51410241012422
6112404041000
714105506602
oct3265675030
91141332360
10450329112
11211220a22
12106993160
13723b373c
1443b46172
1529805cac
hex1ad77a18

450329112 has 64 divisors (see below), whose sum is σ = 1259289600. Its totient is φ = 149104800.

The previous prime is 450329083. The next prime is 450329129. The reversal of 450329112 is 211923054.

It is a super-2 number, since 2×4503291122 = 405592618229417088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25713 + ... + 39519.

It is an arithmetic number, because the mean of its divisors is an integer number (19676400).

Almost surely, 2450329112 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 450329112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629644800).

450329112 is an abundant number, since it is smaller than the sum of its proper divisors (808960488).

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

450329112 is a wasteful number, since it uses less digits than its factorization.

450329112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13973 (or 13963 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 450329112 is about 21220.9592620126. The cubic root of 450329112 is about 766.4962028910.

The spelling of 450329112 in words is "four hundred fifty million, three hundred twenty-nine thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 151 216 302 453 604 906 1208 1359 1812 2718 3624 4077 5436 8154 10872 13807 16308 27614 32616 41421 55228 82842 110456 124263 165684 248526 331368 372789 497052 745578 994104 1491156 2084857 2982312 4169714 6254571 8339428 12509142 16678856 18763713 25018284 37527426 50036568 56291139 75054852 112582278 150109704 225164556 450329112