Search a number
-
+
255901464 = 233371347277
BaseRepresentation
bin11110100000010…
…11111100011000
3122211112010211000
433100023330120
51011002321324
641220505000
76225061260
oct1720137430
9584463730
10255901464
111214a4615
127184b160
134102a8b0
1425db47a0
15176ec9c9
hexf40bf18

255901464 has 256 divisors, whose sum is σ = 896716800. Its totient is φ = 65816064.

The previous prime is 255901453. The next prime is 255901469. The reversal of 255901464 is 464109552.

255901464 is a `hidden beast` number, since 2 + 5 + 590 + 1 + 4 + 64 = 666.

255901464 is digitally balanced in base 2, 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (255901469) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 923694 + ... + 923970.

It is an arithmetic number, because the mean of its divisors is an integer number (3502800).

Almost surely, 2255901464 is an apocalyptic number.

255901464 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 255901464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448358400).

255901464 is an abundant number, since it is smaller than the sum of its proper divisors (640815336).

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

255901464 is a wasteful number, since it uses less digits than its factorization.

255901464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 255901464 is about 15996.9204536373. The cubic root of 255901464 is about 634.8789435879.

The spelling of 255901464 in words is "two hundred fifty-five million, nine hundred one thousand, four hundred sixty-four".