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4242312 = 233258921
BaseRepresentation
bin10000001011101110001000
321222112100200
4100023232020
52041223222
6230532200
751026154
oct20135610
97875320
104242312
112438348
121507060
13b56c59
147c6064
1558beac
hex40bb88

4242312 has 24 divisors (see below), whose sum is σ = 11489790. Its totient is φ = 1414080.

The previous prime is 4242307. The next prime is 4242317. The reversal of 4242312 is 2132424.

It is an interprime number because it is at equal distance from previous prime (4242307) and next prime (4242317).

It can be written as a sum of positive squares in only one way, i.e., 3944196 + 298116 = 1986^2 + 546^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×42423122 = 35994422210688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 (4242317) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29389 + ... + 29532.

Almost surely, 24242312 is an apocalyptic number.

It is an amenable number.

4242312 is an abundant number, since it is smaller than the sum of its proper divisors (7247478).

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

4242312 is a wasteful number, since it uses less digits than its factorization.

4242312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58933 (or 58926 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 4242312 is about 2059.6873549158. The cubic root of 4242312 is about 161.8828599911.

Adding to 4242312 its reverse (2132424), we get a palindrome (6374736).

It can be divided in two parts, 4242 and 312, that added together give a palindrome (4554).

The spelling of 4242312 in words is "four million, two hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 58921 117842 176763 235684 353526 471368 530289 707052 1060578 1414104 2121156 4242312