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255250432 = 212101617
BaseRepresentation
bin11110011011011…
…01000000000000
3122210022001202201
433031231000000
51010321003212
641154522544
76216410233
oct1715550000
9583261681
10255250432
1112109a478
1271596454
1340b60478
1425c8541a
151761eb57
hexf36d000

255250432 has 52 divisors (see below), whose sum is σ = 516327876. Its totient is φ = 126156800.

The previous prime is 255250409. The next prime is 255250433. The reversal of 255250432 is 234052552.

It can be written as a sum of positive squares in 2 ways, for example, as 124010496 + 131239936 = 11136^2 + 11456^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 255250432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255250433) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 413388 + ... + 414004.

Almost surely, 2255250432 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 255250432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258163938).

255250432 is an abundant number, since it is smaller than the sum of its proper divisors (261077444).

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

255250432 is an equidigital number, since it uses as much as digits as its factorization.

255250432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 28.

The square root of 255250432 is about 15976.5588284837. The cubic root of 255250432 is about 634.3400935827.

The spelling of 255250432 in words is "two hundred fifty-five million, two hundred fifty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 404 512 617 808 1024 1234 1616 2048 2468 3232 4096 4936 6464 9872 12928 19744 25856 39488 51712 62317 78976 103424 124634 157952 206848 249268 315904 413696 498536 631808 997072 1263616 1994144 2527232 3988288 7976576 15953152 31906304 63812608 127625216 255250432