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450419472 = 243219164627
BaseRepresentation
bin11010110110001…
…101101100010000
31011101112200100200
4122312031230100
51410301410342
6112410015200
714106334206
oct3266155420
91141480320
10450419472
112112828a8
12106a17500
13724158c9
1443b6b076
152982294c
hex1ad8db10

450419472 has 60 divisors (see below), whose sum is σ = 1326901680. Its totient is φ = 142236864.

The previous prime is 450419461. The next prime is 450419479. The reversal of 450419472 is 274914054.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (450419479) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79578 + ... + 85049.

It is an arithmetic number, because the mean of its divisors is an integer number (22115028).

Almost surely, 2450419472 is an apocalyptic number.

It is an amenable number.

450419472 is an abundant number, since it is smaller than the sum of its proper divisors (876482208).

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

450419472 is a wasteful number, since it uses less digits than its factorization.

450419472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164660 (or 164651 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 450419472 is about 21223.0881824488. The cubic root of 450419472 is about 766.5474661139.

The spelling of 450419472 in words is "four hundred fifty million, four hundred nineteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 164627 329254 493881 658508 987762 1317016 1481643 1975524 2634032 2963286 3127913 3951048 5926572 6255826 7902096 9383739 11853144 12511652 18767478 23706288 25023304 28151217 37534956 50046608 56302434 75069912 112604868 150139824 225209736 450419472