Search a number
-
+
150438176 = 2573312029
BaseRepresentation
bin10001111011110…
…00000100100000
3101111002001101022
420331320010200
5302003010201
622532225012
73504463160
oct1075700440
9344061338
10150438176
1177a11479
124246b168
1325223495
1415da05a0
15d31941b
hex8f78120

150438176 has 48 divisors (see below), whose sum is σ = 339675840. Its totient is φ = 64247040.

The previous prime is 150438163. The next prime is 150438241. The reversal of 150438176 is 671834051.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73130 + ... + 75158.

It is an arithmetic number, because the mean of its divisors is an integer number (7076580).

Almost surely, 2150438176 is an apocalyptic number.

150438176 is a gapful number since it is divisible by the number (16) 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 150438176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169837920).

150438176 is an abundant number, since it is smaller than the sum of its proper divisors (189237664).

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

150438176 is a wasteful number, since it uses less digits than its factorization.

150438176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2377 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 150438176 is about 12265.3241294309. The cubic root of 150438176 is about 531.8461499456.

The spelling of 150438176 in words is "one hundred fifty million, four hundred thirty-eight thousand, one hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 331 662 1324 2029 2317 2648 4058 4634 5296 8116 9268 10592 14203 16232 18536 28406 32464 37072 56812 64928 74144 113624 227248 454496 671599 1343198 2686396 4701193 5372792 9402386 10745584 18804772 21491168 37609544 75219088 150438176