Search a number
-
+
254278064 = 24192341887
BaseRepresentation
bin11110010011111…
…11100110110000
3122201110122221002
433021333212300
51010043344224
641122021132
76205220315
oct1711774660
9581418832
10254278064
11120595967
12711a77a8
13408ac9c1
1425ab0d0c
15174cb9ae
hexf27f9b0

254278064 has 80 divisors (see below), whose sum is σ = 554964480. Its totient is φ = 112273920.

The previous prime is 254278039. The next prime is 254278081. The reversal of 254278064 is 460872452.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286229 + ... + 287115.

It is an arithmetic number, because the mean of its divisors is an integer number (6937056).

Almost surely, 2254278064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254278064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277482240).

254278064 is an abundant number, since it is smaller than the sum of its proper divisors (300686416).

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

254278064 is a wasteful number, since it uses less digits than its factorization.

254278064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 38.

The square root of 254278064 is about 15946.0987078345. The cubic root of 254278064 is about 633.5335694348.

The spelling of 254278064 in words is "two hundred fifty-four million, two hundred seventy-eight thousand, sixty-four".

Divisors: 1 2 4 8 16 19 23 38 41 46 76 82 92 152 164 184 304 328 368 437 656 779 874 887 943 1558 1748 1774 1886 3116 3496 3548 3772 6232 6992 7096 7544 12464 14192 15088 16853 17917 20401 33706 35834 36367 40802 67412 71668 72734 81604 134824 143336 145468 163208 269648 286672 290936 326416 387619 581872 690973 775238 836441 1381946 1550476 1672882 2763892 3100952 3345764 5527784 6201904 6691528 11055568 13383056 15892379 31784758 63569516 127139032 254278064