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450389472 = 253133131153
BaseRepresentation
bin11010110110000…
…110010111100000
31011101111011012120
4122312012113200
51410244430342
6112405224240
714106150561
oct3266062740
91141434176
10450389472
11211262305
12106a02080
1372405060
1443b60168
1529818aec
hex1ad865e0

450389472 has 96 divisors (see below), whose sum is σ = 1278391968. Its totient is φ = 138018816.

The previous prime is 450389453. The next prime is 450389497. The reversal of 450389472 is 274983054.

It is a tau number, because it is divible by the number of its divisors (96).

It is an alternating number because its digits alternate between even and odd.

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, 390048 + ... + 391200.

It is an arithmetic number, because the mean of its divisors is an integer number (13316583).

Almost surely, 2450389472 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 450389472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639195984).

450389472 is an abundant number, since it is smaller than the sum of its proper divisors (828002496).

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

450389472 is a wasteful number, since it uses less digits than its factorization.

450389472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 450389472 is about 21222.3813932367. The cubic root of 450389472 is about 766.5304472119.

The spelling of 450389472 in words is "four hundred fifty million, three hundred eighty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 313 416 624 626 939 1153 1248 1252 1878 2306 2504 3459 3756 4069 4612 5008 6918 7512 8138 9224 10016 12207 13836 14989 15024 16276 18448 24414 27672 29978 30048 32552 36896 44967 48828 55344 59956 65104 89934 97656 110688 119912 130208 179868 195312 239824 359736 360889 390624 479648 719472 721778 1082667 1438944 1443556 2165334 2887112 4330668 4691557 5774224 8661336 9383114 11548448 14074671 17322672 18766228 28149342 34645344 37532456 56298684 75064912 112597368 150129824 225194736 450389472