Search a number
-
+
276249648 = 24323992
BaseRepresentation
bin10000011101110…
…011110000110000
3201020210221021110
4100131303300300
51031204442043
643224553320
76563040363
oct2035636060
9636727243
10276249648
11131a324a4
1278622840
134530363c
14289900da
15193bbb33
hex10773c30

276249648 has 30 divisors (see below), whose sum is σ = 713942524. Its totient is φ = 92044832.

The previous prime is 276249641. The next prime is 276249653. The reversal of 276249648 is 846942672.

276249648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 276249597 and 276249606.

It is not an unprimeable number, because it can be changed into a prime (276249641) 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 5 ways as a sum of consecutive naturals, for example, 113953 + ... + 116351.

Almost surely, 2276249648 is an apocalyptic number.

It is an amenable number.

276249648 is an abundant number, since it is smaller than the sum of its proper divisors (437692876).

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

276249648 is an frugal number, since it uses more digits than its factorization.

276249648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4809 (or 2404 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 276249648 is about 16620.7595494309. The cubic root of 276249648 is about 651.2792542393.

Multiplying 276249648 by its sum of digits (48), we get a square (13259983104 = 1151522).

276249648 divided by its sum of digits (48) gives a square (5755201 = 23992).

The spelling of 276249648 in words is "two hundred seventy-six million, two hundred forty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 2399 4798 7197 9596 14394 19192 28788 38384 57576 115152 5755201 11510402 17265603 23020804 34531206 46041608 69062412 92083216 138124824 276249648