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255024264 = 233114123561
BaseRepresentation
bin11110011001101…
…01110010001000
3122202212120112010
433030311302020
51010241234024
641150015520
76214445655
oct1714656210
9582776463
10255024264
11120a55560
12714a75a0
1340ab1541
1425c26c2c
15175c7b29
hexf335c88

255024264 has 64 divisors (see below), whose sum is σ = 712514880. Its totient is φ = 75392000.

The previous prime is 255024241. The next prime is 255024269. The reversal of 255024264 is 462420552.

It is a happy number.

255024264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (255024269) 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, 957 + ... + 22604.

It is an arithmetic number, because the mean of its divisors is an integer number (11133045).

Almost surely, 2255024264 is an apocalyptic number.

255024264 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 255024264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356257440).

255024264 is an abundant number, since it is smaller than the sum of its proper divisors (457490616).

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

255024264 is a wasteful number, since it uses less digits than its factorization.

255024264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23622 (or 23618 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 255024264 is about 15969.4791399094. The cubic root of 255024264 is about 634.1526830937.

The spelling of 255024264 in words is "two hundred fifty-five million, twenty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 66 82 88 123 132 164 246 264 328 451 492 902 984 1353 1804 2706 3608 5412 10824 23561 47122 70683 94244 141366 188488 259171 282732 518342 565464 777513 966001 1036684 1555026 1932002 2073368 2898003 3110052 3864004 5796006 6220104 7728008 10626011 11592012 21252022 23184024 31878033 42504044 63756066 85008088 127512132 255024264