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255255440 = 24511431673
BaseRepresentation
bin11110011011011…
…10001110010000
3122210022022122012
433031232032100
51010321133230
641155002052
76216430646
oct1715561620
9583268565
10255255440
111210a3210
1271599328
1340b6282b
1425c87196
1517621395
hexf36e390

255255440 has 80 divisors (see below), whose sum is σ = 649886976. Its totient is φ = 92467200.

The previous prime is 255255433. The next prime is 255255479. The reversal of 255255440 is 44552552.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 255255397 and 255255406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 378944 + ... + 379616.

Almost surely, 2255255440 is an apocalyptic number.

255255440 is a gapful number since it is divisible by the number (20) 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 255255440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324943488).

255255440 is an abundant number, since it is smaller than the sum of its proper divisors (394631536).

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

255255440 is a wasteful number, since it uses less digits than its factorization.

255255440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 32.

The square root of 255255440 is about 15976.7155573353. The cubic root of 255255440 is about 634.3442421286.

The spelling of 255255440 in words is "two hundred fifty-five million, two hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 431 440 673 862 880 1346 1724 2155 2692 3365 3448 4310 4741 5384 6730 6896 7403 8620 9482 10768 13460 14806 17240 18964 23705 26920 29612 34480 37015 37928 47410 53840 59224 74030 75856 94820 118448 148060 189640 290063 296120 379280 580126 592240 1160252 1450315 2320504 2900630 3190693 4641008 5801260 6381386 11602520 12762772 15953465 23205040 25525544 31906930 51051088 63813860 127627720 255255440