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4286464 = 21171323
BaseRepresentation
bin10000010110100000000000
322001202220221
4100112200000
52044131324
6231512424
751301660
oct20264000
98052827
104286464
112468536
121528714
13b71090
147d81a0
1559a0e4
hex416800

4286464 has 96 divisors (see below), whose sum is σ = 11007360. Its totient is φ = 1622016.

The previous prime is 4286453. The next prime is 4286467. The reversal of 4286464 is 4646824.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4286467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186357 + ... + 186379.

It is an arithmetic number, because the mean of its divisors is an integer number (114660).

Almost surely, 24286464 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 4286464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5503680).

4286464 is an abundant number, since it is smaller than the sum of its proper divisors (6720896).

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

4286464 is a wasteful number, since it uses less digits than its factorization.

4286464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 45 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

The square root of 4286464 is about 2070.3777433116. The cubic root of 4286464 is about 162.4425232624.

The spelling of 4286464 in words is "four million, two hundred eighty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 32 46 52 56 64 91 92 104 112 128 161 182 184 208 224 256 299 322 364 368 416 448 512 598 644 728 736 832 896 1024 1196 1288 1456 1472 1664 1792 2048 2093 2392 2576 2912 2944 3328 3584 4186 4784 5152 5824 5888 6656 7168 8372 9568 10304 11648 11776 13312 14336 16744 19136 20608 23296 23552 26624 33488 38272 41216 46592 47104 66976 76544 82432 93184 133952 153088 164864 186368 267904 306176 329728 535808 612352 1071616 2143232 4286464