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4149648 = 243228817
BaseRepresentation
bin1111110101000110010000
321210211020200
433311012100
52030242043
6224535200
750162046
oct17650620
97724220
104149648
112384768
121481500
13b23a19
147a0396
1556e7d3
hex3f5190

4149648 has 30 divisors (see below), whose sum is σ = 11613654. Its totient is φ = 1383168.

The previous prime is 4149643. The next prime is 4149653. The reversal of 4149648 is 8469414.

It is a happy number.

4149648 is a `hidden beast` number, since 4 + 1 + 4 + 9 + 648 = 666.

4149648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4149643) and next prime (4149653).

It can be written as a sum of positive squares in only one way, i.e., 4112784 + 36864 = 2028^2 + 192^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4149641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14265 + ... + 14552.

Almost surely, 24149648 is an apocalyptic number.

4149648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4149648 is an abundant number, since it is smaller than the sum of its proper divisors (7464006).

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

4149648 is a wasteful number, since it uses less digits than its factorization.

4149648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28831 (or 28822 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 4149648 is about 2037.0684819122. The cubic root of 4149648 is about 160.6955139133.

The spelling of 4149648 in words is "four million, one hundred forty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 28817 57634 86451 115268 172902 230536 259353 345804 461072 518706 691608 1037412 1383216 2074824 4149648