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255406632 = 233134791709
BaseRepresentation
bin11110011100100…
…11001000101000
3122210121000000220
433032103020220
51010341003012
641202130040
76220630515
oct1716231050
9583530026
10255406632
11121196868
1271650920
1340bb65b0
1425cc630c
151765108c
hexf393228

255406632 has 64 divisors (see below), whose sum is σ = 689472000. Its totient is φ = 78376704.

The previous prime is 255406631. The next prime is 255406637. The reversal of 255406632 is 236604552.

It is a junction number, because it is equal to n+sod(n) for n = 255406593 and 255406602.

It is not an unprimeable number, because it can be changed into a prime (255406631) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 148594 + ... + 150302.

It is an arithmetic number, because the mean of its divisors is an integer number (10773000).

Almost surely, 2255406632 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 255406632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344736000).

255406632 is an abundant number, since it is smaller than the sum of its proper divisors (434065368).

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

255406632 is a wasteful number, since it uses less digits than its factorization.

255406632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 255406632 is about 15981.4464927302. The cubic root of 255406632 is about 634.4694615885.

The spelling of 255406632 in words is "two hundred fifty-five million, four hundred six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 479 958 1437 1709 1916 2874 3418 3832 5127 5748 6227 6836 10254 11496 12454 13672 18681 20508 22217 24908 37362 41016 44434 49816 66651 74724 88868 133302 149448 177736 266604 533208 818611 1637222 2455833 3274444 4911666 6548888 9823332 10641943 19646664 21283886 31925829 42567772 63851658 85135544 127703316 255406632