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255673152 = 2633723919
BaseRepresentation
bin11110011110101…
…00001101000000
3122211002112122000
433033110031000
51010423020102
641211544000
76223120530
oct1717241500
9584075560
10255673152
11121359029
127175b000
1340c7a9b7
1425d554c0
15176a501c
hexf3d4340

255673152 has 224 divisors, whose sum is σ = 897331200. Its totient is φ = 69797376.

The previous prime is 255673147. The next prime is 255673153. The reversal of 255673152 is 251376552.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255673153) 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 31 ways as a sum of consecutive naturals, for example, 277749 + ... + 278667.

Almost surely, 2255673152 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 255673152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448665600).

255673152 is an abundant number, since it is smaller than the sum of its proper divisors (641658048).

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

255673152 is a wasteful number, since it uses less digits than its factorization.

255673152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 954 counting only the distinct ones).

The product of its digits is 63000, while the sum is 36.

The square root of 255673152 is about 15989.7827377360. The cubic root of 255673152 is about 634.6900771284.

The spelling of 255673152 in words is "two hundred fifty-five million, six hundred seventy-three thousand, one hundred fifty-two".