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150282 = 23311223
BaseRepresentation
bin100100101100001010
321122011000
4210230022
514302112
63115430
71164066
oct445412
9248130
10150282
11a2a00
1272b76
1353532
143caa6
152e7dc
hex24b0a

150282 has 48 divisors (see below), whose sum is σ = 383040. Its totient is φ = 43560.

The previous prime is 150247. The next prime is 150287. The reversal of 150282 is 282051.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150287) by changing a digit.

150282 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6523 + ... + 6545.

It is an arithmetic number, because the mean of its divisors is an integer number (7980).

2150282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191520).

150282 is an abundant number, since it is smaller than the sum of its proper divisors (232758).

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

150282 is a wasteful number, since it uses less digits than its factorization.

150282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 150282 is about 387.6622241075. The cubic root of 150282 is about 53.1662042502.

Subtracting 150282 from its reverse (282051), we obtain a square (131769 = 3632).

The spelling of 150282 in words is "one hundred fifty thousand, two hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 99 121 138 198 207 242 253 297 363 414 506 594 621 726 759 1089 1242 1518 2178 2277 2783 3267 4554 5566 6534 6831 8349 13662 16698 25047 50094 75141 150282