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256452320 = 2551602827
BaseRepresentation
bin11110100100100…
…10011011100000
3122212120010110002
433102102123200
51011122433240
641240355132
76232544255
oct1722223340
9585503402
10256452320
11121840473
1271a75aa8
1341191547
14260b942c
15177aad15
hexf4926e0

256452320 has 24 divisors (see below), whose sum is σ = 605868984. Its totient is φ = 102580864.

The previous prime is 256452299. The next prime is 256452331. The reversal of 256452320 is 23254652.

256452320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 3 ways as a sum of consecutive naturals, for example, 801254 + ... + 801573.

It is an arithmetic number, because the mean of its divisors is an integer number (25244541).

Almost surely, 2256452320 is an apocalyptic number.

256452320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256452320 is an abundant number, since it is smaller than the sum of its proper divisors (349416664).

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

256452320 is a wasteful number, since it uses less digits than its factorization.

256452320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602842 (or 1602834 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The square root of 256452320 is about 16014.1287618153. The cubic root of 256452320 is about 635.3341659844.

The spelling of 256452320 in words is "two hundred fifty-six million, four hundred fifty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1602827 3205654 6411308 8014135 12822616 16028270 25645232 32056540 51290464 64113080 128226160 256452320