Search a number
-
+
255191664 = 243713371579
BaseRepresentation
bin11110011010111…
…10101001110000
3122210012002011010
433031132221300
51010312113124
641153350520
76216044010
oct1715365160
9583162133
10255191664
1112105a302
1271568440
1340b3c7b0
1425c6bc40
151760c529
hexf35ea70

255191664 has 160 divisors (see below), whose sum is σ = 833835520. Its totient is φ = 65442816.

The previous prime is 255191653. The next prime is 255191687. The reversal of 255191664 is 466191552.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160827 + ... + 162405.

It is an arithmetic number, because the mean of its divisors is an integer number (5211472).

Almost surely, 2255191664 is an apocalyptic number.

255191664 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 255191664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416917760).

255191664 is an abundant number, since it is smaller than the sum of its proper divisors (578643856).

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

255191664 is a wasteful number, since it uses less digits than its factorization.

255191664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647 (or 1641 counting only the distinct ones).

The product of its digits is 64800, while the sum is 39.

The square root of 255191664 is about 15974.7195280543. The cubic root of 255191664 is about 634.2914070703.

The spelling of 255191664 in words is "two hundred fifty-five million, one hundred ninety-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 37 39 42 48 52 56 74 78 84 91 104 111 112 148 156 168 182 208 222 259 273 296 312 336 364 444 481 518 546 592 624 728 777 888 962 1036 1092 1443 1456 1554 1579 1776 1924 2072 2184 2886 3108 3158 3367 3848 4144 4368 4737 5772 6216 6316 6734 7696 9474 10101 11053 11544 12432 12632 13468 18948 20202 20527 22106 23088 25264 26936 33159 37896 40404 41054 44212 53872 58423 61581 66318 75792 80808 82108 88424 116846 123162 132636 143689 161616 164216 175269 176848 233692 246324 265272 287378 328432 350538 408961 431067 467384 492648 530544 574756 701076 759499 817922 862134 934768 985296 1149512 1226883 1402152 1518998 1635844 1724268 2278497 2299024 2453766 2804304 3037996 3271688 3448536 4556994 4907532 5316493 6075992 6543376 6897072 9113988 9815064 10632986 12151984 15949479 18227976 19630128 21265972 31898958 36455952 42531944 63797916 85063888 127595832 255191664