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150014844 = 223272692213
BaseRepresentation
bin10001111000100…
…00101101111100
3101110021112200100
420330100231330
5301400433334
622515201100
73501051030
oct1074205574
9343245610
10150014844
1177752411
12422a6190
13251058a5
1415cd01c0
15d283c99
hex8f10b7c

150014844 has 72 divisors (see below), whose sum is σ = 435183840. Its totient is φ = 42682752.

The previous prime is 150014789. The next prime is 150014849. The reversal of 150014844 is 448410051.

It is a happy number.

150014844 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150014849) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66682 + ... + 68894.

It is an arithmetic number, because the mean of its divisors is an integer number (6044220).

Almost surely, 2150014844 is an apocalyptic number.

150014844 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 150014844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217591920).

150014844 is an abundant number, since it is smaller than the sum of its proper divisors (285168996).

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

150014844 is a wasteful number, since it uses less digits than its factorization.

150014844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2499 (or 2494 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 150014844 is about 12248.0547026865. The cubic root of 150014844 is about 531.3468107952.

Adding to 150014844 its reverse (448410051), we get a palindrome (598424895).

The spelling of 150014844 in words is "one hundred fifty million, fourteen thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 269 538 807 1076 1614 1883 2213 2421 3228 3766 4426 4842 5649 6639 7532 8852 9684 11298 13278 15491 16947 19917 22596 26556 30982 33894 39834 46473 61964 67788 79668 92946 139419 185892 278838 557676 595297 1190594 1785891 2381188 3571782 4167079 5357673 7143564 8334158 10715346 12501237 16668316 21430692 25002474 37503711 50004948 75007422 150014844