Search a number
-
+
255904352 = 25112294353
BaseRepresentation
bin11110100000011…
…00101001100000
3122211112021202222
433100030221200
51011002414402
641220530212
76225102554
oct1720145140
9584467688
10255904352
111214a6800
1271850968
134102bcc2
1425db5864
15176ed7a2
hexf40ca60

255904352 has 144 divisors (see below), whose sum is σ = 597255120. Its totient is φ = 107627520.

The previous prime is 255904351. The next prime is 255904357. The reversal of 255904352 is 253409552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255904351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4828358 + ... + 4828410.

It is an arithmetic number, because the mean of its divisors is an integer number (4147605).

Almost surely, 2255904352 is an apocalyptic number.

255904352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255904352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298627560).

255904352 is an abundant number, since it is smaller than the sum of its proper divisors (341350768).

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

255904352 is a wasteful number, since it uses less digits than its factorization.

255904352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 35.

The square root of 255904352 is about 15997.0107207566. The cubic root of 255904352 is about 634.8813319075.

The spelling of 255904352 in words is "two hundred fifty-five million, nine hundred four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 29 32 43 44 53 58 86 88 106 116 121 172 176 212 232 242 319 344 352 424 464 473 484 583 638 688 848 928 946 968 1166 1247 1276 1376 1537 1696 1892 1936 2279 2332 2494 2552 3074 3509 3784 3872 4558 4664 4988 5104 5203 6148 6413 7018 7568 9116 9328 9976 10208 10406 12296 12826 13717 14036 15136 16907 18232 18656 19952 20812 24592 25069 25652 27434 28072 33814 36464 39904 41624 49184 50138 51304 54868 56144 66091 67628 72928 83248 100276 102608 109736 112288 132182 135256 150887 166496 185977 200552 205216 219472 264364 270512 275759 301774 371954 401104 438944 528728 541024 551518 603548 727001 743908 802208 1057456 1103036 1207096 1454002 1487816 2114912 2206072 2414192 2908004 2975632 4412144 4828384 5816008 5951264 7997011 8824288 11632016 15994022 23264032 31988044 63976088 127952176 255904352