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150838268 = 2272898647
BaseRepresentation
bin10001111110110…
…01101111111100
3101111211101012112
420333121233330
5302103311033
622544553152
73511050500
oct1077315774
9344741175
10150838268
1178165029
12426227b8
1325333619
1416066300
15d397c48
hex8fd9bfc

150838268 has 36 divisors (see below), whose sum is σ = 310549680. Its totient is φ = 63911232.

The previous prime is 150838267. The next prime is 150838273. The reversal of 150838268 is 862838051.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150838267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13121 + ... + 21767.

It is an arithmetic number, because the mean of its divisors is an integer number (8626380).

Almost surely, 2150838268 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 150838268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155274840).

150838268 is an abundant number, since it is smaller than the sum of its proper divisors (159711412).

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

150838268 is a wasteful number, since it uses less digits than its factorization.

150838268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8754 (or 8745 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 41.

The square root of 150838268 is about 12281.6231826253. The cubic root of 150838268 is about 532.3172161711.

The spelling of 150838268 in words is "one hundred fifty million, eight hundred thirty-eight thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 14 28 49 89 98 178 196 356 623 1246 2492 4361 8647 8722 17294 17444 34588 60529 121058 242116 423703 769583 847406 1539166 1694812 3078332 5387081 10774162 21548324 37709567 75419134 150838268