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150556256 = 25371011259
BaseRepresentation
bin10001111100101…
…00111001100000
3101111022001100122
420332110321200
5302020300011
622534535412
73505464344
oct1076247140
9344261318
10150556256
1177a92164
1242507568
1325265156
1415dd1624
15d33e3db
hex8f94e60

150556256 has 48 divisors (see below), whose sum is σ = 307676880. Its totient is φ = 72460800.

The previous prime is 150556213. The next prime is 150556261. The reversal of 150556256 is 652655051.

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, 118955 + ... + 120213.

It is an arithmetic number, because the mean of its divisors is an integer number (6409935).

Almost surely, 2150556256 is an apocalyptic number.

150556256 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 150556256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153838440).

150556256 is an abundant number, since it is smaller than the sum of its proper divisors (157120624).

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

150556256 is a wasteful number, since it uses less digits than its factorization.

150556256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 35.

The square root of 150556256 is about 12270.1367555541. The cubic root of 150556256 is about 531.9852635035.

The spelling of 150556256 in words is "one hundred fifty million, five hundred fifty-six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 37 74 101 148 202 296 404 592 808 1184 1259 1616 2518 3232 3737 5036 7474 10072 14948 20144 29896 40288 46583 59792 93166 119584 127159 186332 254318 372664 508636 745328 1017272 1490656 2034544 4069088 4704883 9409766 18819532 37639064 75278128 150556256