Search a number
-
+
255464000 = 2653112903
BaseRepresentation
bin11110011101000…
…01001001000000
3122210200220201122
433032201021000
51010344322000
641203251412
76221260001
oct1716411100
9583626648
10255464000
11121225980
1271679b68
1340c0673c
1425cdd1a8
1517663085
hexf3a1240

255464000 has 112 divisors (see below), whose sum is σ = 690408576. Its totient is φ = 92864000.

The previous prime is 255463991. The next prime is 255464029. The reversal of 255464000 is 464552.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 86549 + ... + 89451.

Almost surely, 2255464000 is an apocalyptic number.

255464000 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 255464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345204288).

255464000 is an abundant number, since it is smaller than the sum of its proper divisors (434944576).

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

255464000 is a wasteful number, since it uses less digits than its factorization.

255464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2941 (or 2921 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 255464000 is about 15983.2412232313. The cubic root of 255464000 is about 634.5169616853.

The spelling of 255464000 in words is "two hundred fifty-five million, four hundred sixty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 704 800 880 1000 1100 1375 1600 1760 2000 2200 2750 2903 3520 4000 4400 5500 5806 8000 8800 11000 11612 14515 17600 22000 23224 29030 31933 44000 46448 58060 63866 72575 88000 92896 116120 127732 145150 159665 185792 232240 255464 290300 319330 362875 464480 510928 580600 638660 725750 798325 928960 1021856 1161200 1277320 1451500 1596650 2043712 2322400 2554640 2903000 3193300 3991625 4644800 5109280 5806000 6386600 7983250 10218560 11612000 12773200 15966500 23224000 25546400 31933000 51092800 63866000 127732000 255464000