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2427048 = 2332132593
BaseRepresentation
bin1001010000100010101000
311120022021200
421100202220
51110131143
6124004200
726425641
oct11204250
94508250
102427048
111408528
12990660
1366c930
144726c8
1532e1d3
hex2508a8

2427048 has 48 divisors (see below), whose sum is σ = 7081620. Its totient is φ = 746496.

The previous prime is 2427043. The next prime is 2427053. The reversal of 2427048 is 8407242.

It is an interprime number because it is at equal distance from previous prime (2427043) and next prime (2427053).

It can be written as a sum of positive squares in 2 ways, for example, as 2377764 + 49284 = 1542^2 + 222^2 .

It is not an unprimeable number, because it can be changed into a prime (2427043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 361 + ... + 2232.

22427048 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 2427048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3540810).

2427048 is an abundant number, since it is smaller than the sum of its proper divisors (4654572).

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

2427048 is a wasteful number, since it uses less digits than its factorization.

2427048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2618 (or 2611 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2427048 is about 1557.8985846325. The cubic root of 2427048 is about 134.3876795679.

It can be divided in two parts, 24 and 27048, that added together give a palindrome (27072).

The spelling of 2427048 in words is "two million, four hundred twenty-seven thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 2593 5186 7779 10372 15558 20744 23337 31116 33709 46674 62232 67418 93348 101127 134836 186696 202254 269672 303381 404508 606762 809016 1213524 2427048