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450432150 = 235274110463
BaseRepresentation
bin11010110110010…
…000110010010110
31011101120022202020
4122312100302112
51410302312100
6112410154010
714106416160
oct3266206226
91141508666
10450432150
11211291383
12106a22906
137241b5cc
1443b71930
15298265a0
hex1ad90c96

450432150 has 96 divisors (see below), whose sum is σ = 1307916288. Its totient is φ = 100435200.

The previous prime is 450432131. The next prime is 450432163. The reversal of 450432150 is 51234054.

It is a self number, because there is not a number n which added to its sum of digits gives 450432150.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37819 + ... + 48281.

It is an arithmetic number, because the mean of its divisors is an integer number (13624128).

Almost surely, 2450432150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450432150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653958144).

450432150 is an abundant number, since it is smaller than the sum of its proper divisors (857484138).

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

450432150 is a wasteful number, since it uses less digits than its factorization.

450432150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10526 (or 10521 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 450432150 is about 21223.3868644946. The cubic root of 450432150 is about 766.5546580747.

The spelling of 450432150 in words is "four hundred fifty million, four hundred thirty-two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 41 42 50 70 75 82 105 123 150 175 205 210 246 287 350 410 525 574 615 861 1025 1050 1230 1435 1722 2050 2870 3075 4305 6150 7175 8610 10463 14350 20926 21525 31389 43050 52315 62778 73241 104630 146482 156945 219723 261575 313890 366205 428983 439446 523150 732410 784725 857966 1098615 1286949 1569450 1831025 2144915 2197230 2573898 3002881 3662050 4289830 5493075 6005762 6434745 9008643 10724575 10986150 12869490 15014405 18017286 21449150 30028810 32173725 45043215 64347450 75072025 90086430 150144050 225216075 450432150