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150531444 = 22327643929
BaseRepresentation
bin10001111100011…
…10110101110100
3101111020210022200
420332032311310
5302014001234
622534224500
73505332120
oct1076166564
9344223280
10150531444
1177a75558
12424b5130
1325256a7b
1415dc6580
15d336d99
hex8f8ed74

150531444 has 72 divisors (see below), whose sum is σ = 436013760. Its totient is φ = 42895872.

The previous prime is 150531421. The next prime is 150531457. The reversal of 150531444 is 444135051.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161572 + ... + 162500.

Almost surely, 2150531444 is an apocalyptic number.

150531444 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 150531444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218006880).

150531444 is an abundant number, since it is smaller than the sum of its proper divisors (285482316).

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

150531444 is a wasteful number, since it uses less digits than its factorization.

150531444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 150531444 is about 12269.1256412183. The cubic root of 150531444 is about 531.9560377866.

Adding to 150531444 its reverse (444135051), we get a palindrome (594666495).

It can be divided in two parts, 150531 and 444, that added together give a triangular number (150975 = T549).

The spelling of 150531444 in words is "one hundred fifty million, five hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 643 929 1286 1858 1929 2572 2787 3716 3858 4501 5574 5787 6503 7716 8361 9002 11148 11574 13006 13503 16722 18004 19509 23148 26012 27006 33444 39018 40509 54012 58527 78036 81018 117054 162036 234108 597347 1194694 1792041 2389388 3584082 4181429 5376123 7168164 8362858 10752246 12544287 16725716 21504492 25088574 37632861 50177148 75265722 150531444