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255068424 = 233213733733
BaseRepresentation
bin11110011010000…
…00100100001000
3122202221211002200
433031000210020
51010244142144
641151000200
76215021502
oct1715004410
9582854080
10255068424
11120a85756
1271509060
1340ac8680
1425c38d72
15175d5c69
hexf340908

255068424 has 96 divisors (see below), whose sum is σ = 754342680. Its totient is φ = 77386752.

The previous prime is 255068371. The next prime is 255068447. The reversal of 255068424 is 424860552.

It is a happy number.

255068424 is a `hidden beast` number, since 2 + 550 + 6 + 84 + 24 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 189943524 + 65124900 = 13782^2 + 8070^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66462 + ... + 70194.

Almost surely, 2255068424 is an apocalyptic number.

255068424 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 255068424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377171340).

255068424 is an abundant number, since it is smaller than the sum of its proper divisors (499274256).

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

255068424 is a wasteful number, since it uses less digits than its factorization.

255068424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3831 (or 3824 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 255068424 is about 15970.8617175154. The cubic root of 255068424 is about 634.1892842727.

It can be divided in two parts, 25506 and 8424, that added together give a triangular number (33930 = T260).

The spelling of 255068424 in words is "two hundred fifty-five million, sixty-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 73 78 104 117 146 156 219 234 292 312 438 468 584 657 876 936 949 1314 1752 1898 2628 2847 3733 3796 5256 5694 7466 7592 8541 11199 11388 14932 17082 22398 22776 29864 33597 34164 44796 48529 67194 68328 89592 97058 134388 145587 194116 268776 272509 291174 388232 436761 545018 582348 817527 873522 1090036 1164696 1635054 1747044 2180072 2452581 3270108 3494088 3542617 4905162 6540216 7085234 9810324 10627851 14170468 19620648 21255702 28340936 31883553 42511404 63767106 85022808 127534212 255068424