Search a number
-
+
150039252 = 2232111073541
BaseRepresentation
bin10001111000101…
…10101011010100
3101110022210011100
420330112223110
5301402224002
622515510100
73501212136
oct1074265324
9343283140
10150039252
1177769790
12422b8330
1325113a2c
1415cd9056
15d28b11c
hex8f16ad4

150039252 has 72 divisors (see below), whose sum is σ = 417729312. Its totient is φ = 45028800.

The previous prime is 150039247. The next prime is 150039269. The reversal of 150039252 is 252930051.

150039252 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40602 + ... + 44142.

It is an arithmetic number, because the mean of its divisors is an integer number (5801796).

Almost surely, 2150039252 is an apocalyptic number.

150039252 is a gapful number since it is divisible by the number (12) 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 150039252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208864656).

150039252 is an abundant number, since it is smaller than the sum of its proper divisors (267690060).

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

150039252 is a wasteful number, since it uses less digits than its factorization.

150039252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3669 (or 3664 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 150039252 is about 12249.0510652866. The cubic root of 150039252 is about 531.3756266317.

The spelling of 150039252 in words is "one hundred fifty million, thirty-nine thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 107 132 198 214 321 396 428 642 963 1177 1284 1926 2354 3531 3541 3852 4708 7062 7082 10593 10623 14124 14164 21186 21246 31869 38951 42372 42492 63738 77902 116853 127476 155804 233706 350559 378887 467412 701118 757774 1136661 1402236 1515548 2273322 3409983 4167757 4546644 6819966 8335514 12503271 13639932 16671028 25006542 37509813 50013084 75019626 150039252