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150350244 = 223112176091
BaseRepresentation
bin10001111011000…
…10100110100100
3101110220120202120
420331202212210
5301442201434
622530305540
73503645622
oct1075424644
9343816676
10150350244
1177961400
12424282b0
13251c2455
1415d7a512
15d2ed349
hex8f629a4

150350244 has 72 divisors (see below), whose sum is σ = 408358944. Its totient is φ = 42873600.

The previous prime is 150350201. The next prime is 150350257. The reversal of 150350244 is 442053051.

150350244 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21639 + ... + 27729.

It is an arithmetic number, because the mean of its divisors is an integer number (5671652).

Almost surely, 2150350244 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 150350244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204179472).

150350244 is an abundant number, since it is smaller than the sum of its proper divisors (258008700).

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

150350244 is a wasteful number, since it uses less digits than its factorization.

150350244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6137 (or 6124 counting only the distinct ones).

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

The square root of 150350244 is about 12261.7390283760. The cubic root of 150350244 is about 531.7425073472.

The spelling of 150350244 in words is "one hundred fifty million, three hundred fifty thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 121 132 187 204 242 363 374 484 561 726 748 1122 1452 2057 2244 4114 6091 6171 8228 12182 12342 18273 24364 24684 36546 67001 73092 103547 134002 201003 207094 268004 310641 402006 414188 621282 737011 804012 1139017 1242564 1474022 2211033 2278034 2948044 3417051 4422066 4556068 6834102 8844132 12529187 13668204 25058374 37587561 50116748 75175122 150350244