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914439150 = 23252103109181
BaseRepresentation
bin110110100000010…
…011101111101110
32100201200022200200
4312200103233232
53333044023100
6230423334330
731442414232
oct6640235756
92321608620
10914439150
1142a1a4739
122162b13a6
131175b0971
14896385c2
155542ee00
hex36813bee

914439150 has 144 divisors (see below), whose sum is σ = 2517234720. Its totient is φ = 237945600.

The previous prime is 914439143. The next prime is 914439167. The reversal of 914439150 is 51934419.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5052060 + ... + 5052240.

Almost surely, 2914439150 is an apocalyptic number.

914439150 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 914439150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258617360).

914439150 is an abundant number, since it is smaller than the sum of its proper divisors (1602795570).

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

914439150 is a wasteful number, since it uses less digits than its factorization.

914439150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 914439150 is about 30239.6949389375. The cubic root of 914439150 is about 970.6252920870.

The spelling of 914439150 in words is "nine hundred fourteen million, four hundred thirty-nine thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 103 109 150 181 206 218 225 309 327 362 450 515 543 545 618 654 905 927 981 1030 1086 1090 1545 1629 1635 1810 1854 1962 2575 2715 2725 3090 3258 3270 4525 4635 4905 5150 5430 5450 7725 8145 8175 9050 9270 9810 11227 13575 15450 16290 16350 18643 19729 22454 23175 24525 27150 33681 37286 39458 40725 46350 49050 55929 56135 59187 67362 81450 93215 98645 101043 111858 112270 118374 167787 168405 177561 186430 197290 202086 279645 280675 295935 335574 336810 355122 466075 493225 505215 559290 561350 591870 838935 842025 887805 932150 986450 1010430 1398225 1479675 1677870 1684050 1775610 2032087 2526075 2796450 2959350 4064174 4194675 4439025 5052150 6096261 8389350 8878050 10160435 12192522 18288783 20320870 30481305 36577566 50802175 60962610 91443915 101604350 152406525 182887830 304813050 457219575 914439150