Search a number
-
+
255542432 = 2529509541
BaseRepresentation
bin11110011101101…
…00010010100000
3122210211220022112
433032310102200
51010404324212
641205054452
76222034445
oct1716642240
9583756275
10255542432
111212798a2
12716b7428
1340c33352
1425d1d9cc
151767b422
hexf3b44a0

255542432 has 48 divisors (see below), whose sum is σ = 522433800. Its totient is φ = 122895360.

The previous prime is 255542411. The next prime is 255542447. The reversal of 255542432 is 234245552.

It can be written as a sum of positive squares in 4 ways, for example, as 238270096 + 17272336 = 15436^2 + 4156^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 472082 + ... + 472622.

Almost surely, 2255542432 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 255542432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261216900).

255542432 is an abundant number, since it is smaller than the sum of its proper divisors (266891368).

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

255542432 is a wasteful number, since it uses less digits than its factorization.

255542432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1081 counting only the distinct ones).

The product of its digits is 48000, while the sum is 32.

The square root of 255542432 is about 15985.6946048647. The cubic root of 255542432 is about 634.5818910454.

Adding to 255542432 its reverse (234245552), we get a palindrome (489787984).

The spelling of 255542432 in words is "two hundred fifty-five million, five hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 509 541 928 1018 1082 2036 2164 4072 4328 8144 8656 14761 15689 16288 17312 29522 31378 59044 62756 118088 125512 236176 251024 275369 472352 502048 550738 1101476 2202952 4405904 7985701 8811808 15971402 31942804 63885608 127771216 255542432