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255442432 = 297263271
BaseRepresentation
bin11110011100110…
…11111000000000
3122210122211010211
433032123320000
51010343124212
641203003504
76221140060
oct1716337000
9583584124
10255442432
11121210753
1271669594
1340bc998b
1425cd53a0
151765b9a7
hexf39be00

255442432 has 80 divisors (see below), whose sum is σ = 587676672. Its totient is φ = 108656640.

The previous prime is 255442427. The next prime is 255442477. The reversal of 255442432 is 234244552.

255442432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 255442394 and 255442403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 942457 + ... + 942727.

Almost surely, 2255442432 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 255442432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293838336).

255442432 is an abundant number, since it is smaller than the sum of its proper divisors (332234240).

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

255442432 is an equidigital number, since it uses as much as digits as its factorization.

255442432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 543 counting only the distinct ones).

The product of its digits is 38400, while the sum is 31.

The square root of 255442432 is about 15982.5665022862. The cubic root of 255442432 is about 634.4991044438.

Adding to 255442432 its reverse (234244552), we get a palindrome (489686984).

The spelling of 255442432 in words is "two hundred fifty-five million, four hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 263 271 448 512 526 542 896 1052 1084 1792 1841 1897 2104 2168 3584 3682 3794 4208 4336 7364 7588 8416 8672 14728 15176 16832 17344 29456 30352 33664 34688 58912 60704 67328 69376 71273 117824 121408 134656 138752 142546 235648 242816 285092 471296 485632 498911 570184 942592 971264 997822 1140368 1995644 2280736 3991288 4561472 7982576 9122944 15965152 18245888 31930304 36491776 63860608 127721216 255442432