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150148416 = 26311223281
BaseRepresentation
bin10001111001100…
…01010101000000
3101110112022220110
420330301111000
5301414222131
622522111320
73502145325
oct1074612500
9343468813
10150148416
1177833800
124234b540
1325151622
1415d26b4c
15d2ad646
hex8f31540

150148416 has 168 divisors, whose sum is σ = 457273152. Its totient is φ = 43366400.

The previous prime is 150148391. The next prime is 150148423. The reversal of 150148416 is 614841051.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 534196 + ... + 534476.

It is an arithmetic number, because the mean of its divisors is an integer number (2721864).

Almost surely, 2150148416 is an apocalyptic number.

150148416 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 150148416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228636576).

150148416 is an abundant number, since it is smaller than the sum of its proper divisors (307124736).

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

150148416 is a wasteful number, since it uses less digits than its factorization.

150148416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 150148416 is about 12253.5062737161. The cubic root of 150148416 is about 531.5044663092.

Adding to 150148416 its reverse (614841051), we get a palindrome (764989467).

The spelling of 150148416 in words is "one hundred fifty million, one hundred forty-eight thousand, four hundred sixteen".