Search a number
-
+
255528064 = 27111271429
BaseRepresentation
bin11110011101100…
…00110010000000
3122210211011121101
433032300302000
51010403344224
641204504144
76221644531
oct1716606200
9583734541
10255528064
1112126a020
12716ab054
1340c2994c
1425d18688
1517677044
hexf3b0c80

255528064 has 64 divisors (see below), whose sum is σ = 560102400. Its totient is φ = 115153920.

The previous prime is 255528061. The next prime is 255528103. The reversal of 255528064 is 460825552.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (255528061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178102 + ... + 179530.

It is an arithmetic number, because the mean of its divisors is an integer number (8751600).

Almost surely, 2255528064 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 255528064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280051200).

255528064 is an abundant number, since it is smaller than the sum of its proper divisors (304574336).

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

255528064 is a wasteful number, since it uses less digits than its factorization.

255528064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 37.

The square root of 255528064 is about 15985.2451967432. The cubic root of 255528064 is about 634.5699975953.

The spelling of 255528064 in words is "two hundred fifty-five million, five hundred twenty-eight thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 127 128 176 254 352 508 704 1016 1397 1408 1429 2032 2794 2858 4064 5588 5716 8128 11176 11432 15719 16256 22352 22864 31438 44704 45728 62876 89408 91456 125752 178816 181483 182912 251504 362966 503008 725932 1006016 1451864 1996313 2012032 2903728 3992626 5807456 7985252 11614912 15970504 23229824 31941008 63882016 127764032 255528064