Search a number
-
+
255233552 = 24724367113
BaseRepresentation
bin11110011011010…
…00111000010000
3122210021012121112
433031220320100
51010314433202
641154312452
76216310100
oct1715507020
9583235545
10255233552
11121088822
1271588728
1340b55892
1425c7d200
1517619b52
hexf368e10

255233552 has 120 divisors (see below), whose sum is σ = 602702496. Its totient is φ = 104315904.

The previous prime is 255233543. The next prime is 255233557. The reversal of 255233552 is 255332552.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255233557) 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 23 ways as a sum of consecutive naturals, for example, 2258648 + ... + 2258760.

Almost surely, 2255233552 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 255233552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301351248).

255233552 is an abundant number, since it is smaller than the sum of its proper divisors (347468944).

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

255233552 is a wasteful number, since it uses less digits than its factorization.

255233552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 232 counting only the distinct ones).

The product of its digits is 45000, while the sum is 32.

The square root of 255233552 is about 15976.0305457895. The cubic root of 255233552 is about 634.3261100650.

The spelling of 255233552 in words is "two hundred fifty-five million, two hundred thirty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 43 49 56 67 86 98 112 113 134 172 196 226 268 301 344 392 452 469 536 602 688 784 791 904 938 1072 1204 1582 1808 1876 2107 2408 2881 3164 3283 3752 4214 4816 4859 5537 5762 6328 6566 7504 7571 8428 9718 11074 11524 12656 13132 15142 16856 19436 20167 22148 23048 26264 30284 33712 34013 38872 40334 44296 46096 52528 52997 60568 68026 77744 80668 88592 105994 121136 136052 141169 161336 211988 238091 272104 282338 322672 325553 370979 423976 476182 544208 564676 651106 741958 847952 952364 1129352 1302212 1483916 1904728 2258704 2278871 2604424 2967832 3809456 4557742 5208848 5935664 9115484 15952097 18230968 31904194 36461936 63808388 127616776 255233552