Search a number
-
+
255104784 = 2432116
BaseRepresentation
bin11110011010010…
…01011100010000
3122210000122222100
433031021130100
51010301323114
641151440400
76215232504
oct1715113420
9583018870
10255104784
11121000000
1271526100
1340b0c09c
1425c48304
15175e1909
hexf349710

255104784 has 105 divisors (see below), whose sum is σ = 785332951. Its totient is φ = 77304480.

The previous prime is 255104761. The next prime is 255104791. The reversal of 255104784 is 487401552.

The square root of 255104784 is 15972.

It is a perfect power (a square), and thus also a powerful number.

255104784 is a `hidden beast` number, since 25 + 510 + 47 + 84 = 666.

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

It is a Duffinian number.

It is an unprimeable number.

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 20 ways as a sum of consecutive naturals, for example, 23191339 + ... + 23191349.

Almost surely, 2255104784 is an apocalyptic number.

255104784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

255104784 is the 15972-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255104784

255104784 is an abundant number, since it is smaller than the sum of its proper divisors (530228167).

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

255104784 is an frugal number, since it uses more digits than its factorization.

255104784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The cubic root of 255104784 is about 634.2194173986.

Multiplying 255104784 by its sum of digits (36), we get a square (9183772224 = 958322).

255104784 divided by its sum of digits (36) gives a square (7086244 = 26622).

The spelling of 255104784 in words is "two hundred fifty-five million, one hundred four thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1331 1452 1584 1936 2178 2662 2904 3993 4356 5324 5808 7986 8712 10648 11979 14641 15972 17424 21296 23958 29282 31944 43923 47916 58564 63888 87846 95832 117128 131769 161051 175692 191664 234256 263538 322102 351384 483153 527076 644204 702768 966306 1054152 1288408 1449459 1771561 1932612 2108304 2576816 2898918 3543122 3865224 5314683 5797836 7086244 7730448 10629366 11595672 14172488 15944049 21258732 23191344 28344976 31888098 42517464 63776196 85034928 127552392 255104784