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2427144 = 233234397
BaseRepresentation
bin1001010000100100001000
311120022102020
421100210020
51110132034
6124004440
726426136
oct11204410
94508366
102427144
111408605
12990720
1366c9a5
14472756
1532e249
hex250908

2427144 has 32 divisors (see below), whose sum is σ = 6333120. Its totient is φ = 773696.

The previous prime is 2427143. The next prime is 2427151. The reversal of 2427144 is 4417242.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 211 + 44 + 221 + 7 + 1 + 48 + 49 .

It is not an unprimeable number, because it can be changed into a prime (2427143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1647 + ... + 2750.

It is an arithmetic number, because the mean of its divisors is an integer number (197910).

22427144 is an apocalyptic number.

2427144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2427144 is an abundant number, since it is smaller than the sum of its proper divisors (3905976).

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

2427144 is a wasteful number, since it uses less digits than its factorization.

2427144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4429 (or 4425 counting only the distinct ones).

The product of its digits is 1792, while the sum is 24.

The square root of 2427144 is about 1557.9293950626. The cubic root of 2427144 is about 134.3894514113.

The spelling of 2427144 in words is "two million, four hundred twenty-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 4397 8794 13191 17588 26382 35176 52764 101131 105528 202262 303393 404524 606786 809048 1213572 2427144