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150444 = 22337199
BaseRepresentation
bin100100101110101100
321122101000
4210232230
514303234
63120300
71164420
oct445654
9248330
10150444
11a3038
1273090
1353628
143cb80
152e899
hex24bac

150444 has 48 divisors (see below), whose sum is σ = 448000. Its totient is φ = 42768.

The previous prime is 150439. The next prime is 150473. The reversal of 150444 is 444051.

150444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 657 + ... + 855.

2150444 is an apocalyptic number.

150444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224000).

150444 is an abundant number, since it is smaller than the sum of its proper divisors (297556).

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

150444 is a wasteful number, since it uses less digits than its factorization.

150444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 150444 is about 387.8711126135. The cubic root of 150444 is about 53.1853013079.

Subtracting from 150444 its sum of digits (18), we obtain a triangular number (150426 = T548).

Adding to 150444 its reverse (444051), we get a palindrome (594495).

The spelling of 150444 in words is "one hundred fifty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 199 252 378 398 597 756 796 1194 1393 1791 2388 2786 3582 4179 5373 5572 7164 8358 10746 12537 16716 21492 25074 37611 50148 75222 150444