Search a number
-
+
254875460 = 22572283919
BaseRepresentation
bin11110011000100…
…01011101000100
3122202121000101212
433030101131010
51010222003320
641142510552
76213256100
oct1714213504
9582530355
10254875460
11120963784
1271435458
1340a5b8a8
1425bc8900
15175989c5
hexf311744

254875460 has 72 divisors (see below), whose sum is σ = 625504320. Its totient is φ = 86982336.

The previous prime is 254875447. The next prime is 254875469. The reversal of 254875460 is 64578452.

It is a super-2 number, since 2×2548754602 = 129923000220423200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254875469) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 276881 + ... + 277799.

It is an arithmetic number, because the mean of its divisors is an integer number (8687560).

Almost surely, 2254875460 is an apocalyptic number.

254875460 is a gapful number since it is divisible by the number (20) 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 254875460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312752160).

254875460 is an abundant number, since it is smaller than the sum of its proper divisors (370628860).

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

254875460 is a wasteful number, since it uses less digits than its factorization.

254875460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 41.

The square root of 254875460 is about 15964.8194477733. The cubic root of 254875460 is about 634.0293186029.

The spelling of 254875460 in words is "two hundred fifty-four million, eight hundred seventy-five thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 283 490 566 919 980 1132 1415 1838 1981 2830 3676 3962 4595 5660 6433 7924 9190 9905 12866 13867 18380 19810 25732 27734 32165 39620 45031 55468 64330 69335 90062 128660 138670 180124 225155 260077 277340 450310 520154 900620 1040308 1300385 1820539 2600770 3641078 5201540 7282156 9102695 12743773 18205390 25487546 36410780 50975092 63718865 127437730 254875460