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8442264 = 233536637
BaseRepresentation
bin100000001101…
…000110011000
3120212220121110
4200031012120
54130123024
6500540320
7131521005
oct40150630
916786543
108442264
114846886
1229b16a0
13199782c
14119a8ac
15b1b629
hex80d198

8442264 has 32 divisors (see below), whose sum is σ = 21507120. Its totient is φ = 2760576.

The previous prime is 8442263. The next prime is 8442271. The reversal of 8442264 is 4622448.

8442264 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a d-powerful number, because it can be written as 85 + 43 + 46 + 27 + 223 + 63 + 47 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8442263) 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, 2047 + ... + 4590.

Almost surely, 28442264 is an apocalyptic number.

It is an amenable number.

8442264 is an abundant number, since it is smaller than the sum of its proper divisors (13064856).

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

8442264 is a wasteful number, since it uses less digits than its factorization.

8442264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6699 (or 6695 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 8442264 is about 2905.5574336089. The cubic root of 8442264 is about 203.6196295483.

The spelling of 8442264 in words is "eight million, four hundred forty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 636 1272 6637 13274 19911 26548 39822 53096 79644 159288 351761 703522 1055283 1407044 2110566 2814088 4221132 8442264