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255676512 = 253721337113
BaseRepresentation
bin11110011110101…
…01000001100000
3122211002201020110
433033111001200
51010423122022
641212011320
76223133400
oct1717250140
9584081213
10255676512
11121360603
1271760b40
1340c7c3a0
1425d56800
15176a600c
hexf3d5060

255676512 has 288 divisors, whose sum is σ = 871147872. Its totient is φ = 65028096.

The previous prime is 255676511. The next prime is 255676513. The reversal of 255676512 is 215676552.

255676512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (255676511) and next prime (255676513).

It is a super-2 number, since 2×2556765122 = 130740957576972288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (126000) is a multiple of the sum of its prime divisors (175).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255676511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2262568 + ... + 2262680.

It is an arithmetic number, because the mean of its divisors is an integer number (3024819).

Almost surely, 2255676512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255676512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435573936).

255676512 is an abundant number, since it is smaller than the sum of its proper divisors (615471360).

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

255676512 is a wasteful number, since it uses less digits than its factorization.

255676512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 175 counting only the distinct ones).

The product of its digits is 126000, while the sum is 39.

The square root of 255676512 is about 15989.8878044844. The cubic root of 255676512 is about 634.6928574351.

The spelling of 255676512 in words is "two hundred fifty-five million, six hundred seventy-six thousand, five hundred twelve".