Search a number
-
+
278045248 = 2613334189
BaseRepresentation
bin10000100100101…
…010001001000000
3201101012011101011
4100210222021000
51032134421443
643331250304
76614226355
oct2044521100
9641164334
10278045248
11132a49568
1279149994
13457b1a20
1428cda62c
1519623b9d
hex1092a240

278045248 has 28 divisors (see below), whose sum is σ = 594189820. Its totient is φ = 128328192.

The previous prime is 278045227. The next prime is 278045249. The reversal of 278045248 is 842540872.

It can be written as a sum of positive squares in 2 ways, for example, as 76177984 + 201867264 = 8728^2 + 14208^2 .

It is a super-3 number, since 3×2780452483 (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 278045248.

It is not an unprimeable number, because it can be changed into a prime (278045249) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 166263 + ... + 167926.

It is an arithmetic number, because the mean of its divisors is an integer number (21221065).

Almost surely, 2278045248 is an apocalyptic number.

It is an amenable number.

278045248 is an abundant number, since it is smaller than the sum of its proper divisors (316144572).

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

278045248 is a wasteful number, since it uses less digits than its factorization.

278045248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334214 (or 334204 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 40.

The square root of 278045248 is about 16674.6888426741. The cubic root of 278045248 is about 652.6872951173.

The spelling of 278045248 in words is "two hundred seventy-eight million, forty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 334189 668378 1336756 2673512 4344457 5347024 8688914 10694048 17377828 21388096 34755656 69511312 139022624 278045248