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150208256 = 2811411301
BaseRepresentation
bin10001111001111…
…11111100000000
3101110122100222202
420330333330000
5301423131011
622523252332
73502514642
oct1074777400
9343570882
10150208256
1177874760
124237a0a8
1325172933
1415d40892
15d2c123b
hex8f3ff00

150208256 has 72 divisors (see below), whose sum is σ = 335322288. Its totient is φ = 66560000.

The previous prime is 150208211. The next prime is 150208259. The reversal of 150208256 is 652802051.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150208259) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114806 + ... + 116106.

It is an arithmetic number, because the mean of its divisors is an integer number (4657254).

Almost surely, 2150208256 is an apocalyptic number.

150208256 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 150208256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167661144).

150208256 is an abundant number, since it is smaller than the sum of its proper divisors (185114032).

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

150208256 is a wasteful number, since it uses less digits than its factorization.

150208256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 150208256 is about 12255.9477805676. The cubic root of 150208256 is about 531.5750653512.

The spelling of 150208256 in words is "one hundred fifty million, two hundred eight thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 128 164 176 256 328 352 451 656 704 902 1301 1312 1408 1804 2602 2624 2816 3608 5204 5248 7216 10408 10496 14311 14432 20816 28622 28864 41632 53341 57244 57728 83264 106682 114488 115456 166528 213364 228976 333056 426728 457952 586751 853456 915904 1173502 1706912 1831808 2347004 3413824 3663616 4694008 6827648 9388016 13655296 18776032 37552064 75104128 150208256