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150285872 = 241137057
BaseRepresentation
bin10001111010100…
…10111000110000
3101110210022110102
420331102320300
5301433121442
622525051532
73503260142
oct1075227060
9343708412
10150285872
1177918000
12423b6ba8
132519c069
1415d60c92
15d2d9232
hex8f52e30

150285872 has 40 divisors (see below), whose sum is σ = 320320272. Its totient is φ = 68302080.

The previous prime is 150285857. The next prime is 150285881. The reversal of 150285872 is 278582051.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17768 + ... + 24824.

Almost surely, 2150285872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150285872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160160136).

150285872 is an abundant number, since it is smaller than the sum of its proper divisors (170034400).

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

150285872 is an equidigital number, since it uses as much as digits as its factorization.

150285872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7098 (or 7070 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 38.

The square root of 150285872 is about 12259.1138342051. The cubic root of 150285872 is about 531.6666085348. Note that the first 4 decimals are identical.

The spelling of 150285872 in words is "one hundred fifty million, two hundred eighty-five thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1331 1936 2662 5324 7057 10648 14114 21296 28228 56456 77627 112912 155254 310508 621016 853897 1242032 1707794 3415588 6831176 9392867 13662352 18785734 37571468 75142936 150285872