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255312512 = 2771323953
BaseRepresentation
bin11110011011111…
…00001010000000
3122210102012220222
433031330022000
51010330000022
641200122212
76220056230
oct1715741200
9583365828
10255312512
11121132084
1271606368
1340b827c0
1425c9dcc0
1517633242
hexf37c280

255312512 has 128 divisors (see below), whose sum is σ = 653909760. Its totient is φ = 96509952.

The previous prime is 255312493. The next prime is 255312517. The reversal of 255312512 is 215213552.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (255312517) 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, 267428 + ... + 268380.

It is an arithmetic number, because the mean of its divisors is an integer number (5108670).

Almost surely, 2255312512 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 255312512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326954880).

255312512 is an abundant number, since it is smaller than the sum of its proper divisors (398597248).

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

255312512 is a wasteful number, since it uses less digits than its factorization.

255312512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 998 counting only the distinct ones).

The product of its digits is 3000, while the sum is 26.

The square root of 255312512 is about 15978.5015567793. The cubic root of 255312512 is about 634.3915158148.

The spelling of 255312512 in words is "two hundred fifty-five million, three hundred twelve thousand, five hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 32 46 52 56 64 91 92 104 112 128 161 182 184 208 224 299 322 364 368 416 448 598 644 728 736 832 896 953 1196 1288 1456 1472 1664 1906 2093 2392 2576 2912 2944 3812 4186 4784 5152 5824 6671 7624 8372 9568 10304 11648 12389 13342 15248 16744 19136 20608 21919 24778 26684 30496 33488 38272 43838 49556 53368 60992 66976 86723 87676 99112 106736 121984 133952 153433 173446 175352 198224 213472 267904 284947 306866 346892 350704 396448 426944 569894 613732 693784 701408 792896 853888 1139788 1227464 1387568 1402816 1585792 1994629 2279576 2454928 2775136 2805632 3989258 4559152 4909856 5550272 7978516 9118304 9819712 11100544 15957032 18236608 19639424 31914064 36473216 63828128 127656256 255312512