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255315072 = 27329101227
BaseRepresentation
bin11110011011111…
…00110010000000
3122210102100102210
433031330302000
51010330040242
641200142120
76220066545
oct1715746200
9583370383
10255315072
11121133aa1
1271607940
1340b83a0c
1425ca0bcc
1517633d9c
hexf37cc80

255315072 has 128 divisors (see below), whose sum is σ = 711633600. Its totient is φ = 80998400.

The previous prime is 255315041. The next prime is 255315079. The reversal of 255315072 is 270513552.

255315072 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (255315079) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1124623 + ... + 1124849.

Almost surely, 2255315072 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 255315072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355816800).

255315072 is an abundant number, since it is smaller than the sum of its proper divisors (456318528).

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

255315072 is a wasteful number, since it uses less digits than its factorization.

255315072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 255315072 is about 15978.5816642154. The cubic root of 255315072 is about 634.3936361403.

It can be divided in two parts, 25531 and 5072, that added together give a palindrome (30603).

The spelling of 255315072 in words is "two hundred fifty-five million, three hundred fifteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 101 116 128 174 192 202 227 232 303 348 384 404 454 464 606 681 696 808 908 928 1212 1362 1392 1616 1816 1856 2424 2724 2784 2929 3232 3632 3712 4848 5448 5568 5858 6464 6583 7264 8787 9696 10896 11136 11716 12928 13166 14528 17574 19392 19749 21792 22927 23432 26332 29056 35148 38784 39498 43584 45854 46864 52664 68781 70296 78996 87168 91708 93728 105328 137562 140592 157992 183416 187456 210656 275124 281184 315984 366832 374912 421312 550248 562368 631968 664883 733664 842624 1100496 1124736 1263936 1329766 1467328 1994649 2200992 2527872 2659532 2934656 3989298 4401984 5319064 7978596 8803968 10638128 15957192 21276256 31914384 42552512 63828768 85105024 127657536 255315072