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450455096 = 237134331429
BaseRepresentation
bin11010110110010…
…110011000111000
31011101121111020002
4122312112120320
51410304030341
6112410452132
714106543110
oct3266263070
91141544202
10450455096
112112a7643
12106a34048
1372428ba0
1443b7a040
152982d29b
hex1ad96638

450455096 has 64 divisors (see below), whose sum is σ = 1042641600. Its totient is φ = 177666048.

The previous prime is 450455087. The next prime is 450455101. The reversal of 450455096 is 690554054.

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, 314510 + ... + 315938.

It is an arithmetic number, because the mean of its divisors is an integer number (16291275).

Almost surely, 2450455096 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 450455096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521320800).

450455096 is an abundant number, since it is smaller than the sum of its proper divisors (592186504).

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

450455096 is a wasteful number, since it uses less digits than its factorization.

450455096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 38.

The square root of 450455096 is about 21223.9274405092. The cubic root of 450455096 is about 766.5676745112.

The spelling of 450455096 in words is "four hundred fifty million, four hundred fifty-five thousand, ninety-six".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 433 728 866 1429 1732 2858 3031 3464 5629 5716 6062 10003 11258 11432 12124 18577 20006 22516 24248 37154 39403 40012 45032 74308 78806 80024 130039 148616 157612 260078 315224 520156 618757 1040312 1237514 2475028 4331299 4950056 8043841 8662598 16087682 17325196 32175364 34650392 56306887 64350728 112613774 225227548 450455096