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255753144 = 233211093203
BaseRepresentation
bin11110011111001…
…11101110111000
3122211020121100200
433033213232320
51010433100034
641213402200
76223602663
oct1717475670
9584217320
10255753144
11121403139
1271799360
1340ca822a
1425d766da
15176bda99
hexf3e7bb8

255753144 has 48 divisors (see below), whose sum is σ = 693505800. Its totient is φ = 85147584.

The previous prime is 255753103. The next prime is 255753161. The reversal of 255753144 is 441357552.

255753144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 255753099 and 255753108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78247 + ... + 81449.

Almost surely, 2255753144 is an apocalyptic number.

255753144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

255753144 is an abundant number, since it is smaller than the sum of its proper divisors (437752656).

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

255753144 is a wasteful number, since it uses less digits than its factorization.

255753144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4324 (or 4317 counting only the distinct ones).

The product of its digits is 84000, while the sum is 36.

The square root of 255753144 is about 15992.2838894262. The cubic root of 255753144 is about 634.7562616749.

The spelling of 255753144 in words is "two hundred fifty-five million, seven hundred fifty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1109 2218 3203 3327 4436 6406 6654 8872 9609 9981 12812 13308 19218 19962 25624 26616 28827 38436 39924 57654 76872 79848 115308 230616 3552127 7104254 10656381 14208508 21312762 28417016 31969143 42625524 63938286 85251048 127876572 255753144