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150228928 = 264379691
BaseRepresentation
bin10001111010001…
…00111111000000
3101110200102100101
420331010333000
5301424311203
622523532144
73502632133
oct1075047700
9343612311
10150228928
1177889243
124238a054
132517c175
1415d4821a
15d2c741d
hex8f44fc0

150228928 has 56 divisors (see below), whose sum is σ = 309351680. Its totient is φ = 72334080.

The previous prime is 150228901. The next prime is 150228937. The reversal of 150228928 is 829822051.

It is a congruent 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, 217063 + ... + 217753.

Almost surely, 2150228928 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 150228928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154675840).

150228928 is an abundant number, since it is smaller than the sum of its proper divisors (159122752).

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

150228928 is an equidigital number, since it uses as much as digits as its factorization.

150228928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The square root of 150228928 is about 12256.7910971836. The cubic root of 150228928 is about 531.5994497536.

The spelling of 150228928 in words is "one hundred fifty million, two hundred twenty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 43 64 79 86 158 172 316 344 632 688 691 1264 1376 1382 2528 2752 2764 3397 5056 5528 6794 11056 13588 22112 27176 29713 44224 54352 54589 59426 108704 109178 118852 217408 218356 237704 436712 475408 873424 950816 1746848 1901632 2347327 3493696 4694654 9389308 18778616 37557232 75114464 150228928