Search a number
-
+
255435264 = 293277919
BaseRepresentation
bin11110011100110…
…10001000000000
3122210122110022100
433032122020000
51010342412024
641202510400
76221110140
oct1716321000
9583573270
10255435264
11121206327
1271665400
1340bc6636
1425cd2920
15176597c9
hexf39a200

255435264 has 120 divisors (see below), whose sum is σ = 842624640. Its totient is φ = 72972288.

The previous prime is 255435247. The next prime is 255435269. The reversal of 255435264 is 462534552.

255435264 is a `hidden beast` number, since 2 + 5 + 543 + 52 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (255435269) 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 11 ways as a sum of consecutive naturals, for example, 28297 + ... + 36215.

It is an arithmetic number, because the mean of its divisors is an integer number (7021872).

Almost surely, 2255435264 is an apocalyptic number.

255435264 is a gapful number since it is divisible by the number (24) 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 255435264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421312320).

255435264 is an abundant number, since it is smaller than the sum of its proper divisors (587189376).

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

255435264 is an equidigital number, since it uses as much as digits as its factorization.

255435264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7950 (or 7931 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The square root of 255435264 is about 15982.3422563778. The cubic root of 255435264 is about 634.4931694704.

The spelling of 255435264 in words is "two hundred fifty-five million, four hundred thirty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1152 1344 1536 1792 2016 2304 2688 3584 4032 4608 5376 7919 8064 10752 15838 16128 23757 31676 32256 47514 55433 63352 71271 95028 110866 126704 142542 166299 190056 221732 253408 285084 332598 380112 443464 498897 506816 570168 665196 760224 886928 997794 1013632 1140336 1330392 1520448 1773856 1995588 2027264 2280672 2660784 3040896 3547712 3991176 4054528 4561344 5321568 6081792 7095424 7982352 9122688 10643136 12163584 14190848 15964704 18245376 21286272 28381696 31929408 36490752 42572544 63858816 85145088 127717632 255435264