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4286432 = 252931149
BaseRepresentation
bin10000010110011111100000
322001202212202
4100112133200
52044131212
6231512332
751301613
oct20263740
98052782
104286432
112468507
1215286a8
13b71067
147d817a
1559a0c2
hex4167e0

4286432 has 48 divisors (see below), whose sum is σ = 9072000. Its totient is φ = 1989120.

The previous prime is 4286423. The next prime is 4286453. The reversal of 4286432 is 2346824.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 4286395 and 4286404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28694 + ... + 28842.

It is an arithmetic number, because the mean of its divisors is an integer number (189000).

Almost surely, 24286432 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 4286432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4536000).

4286432 is an abundant number, since it is smaller than the sum of its proper divisors (4785568).

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

4286432 is a wasteful number, since it uses less digits than its factorization.

4286432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 211 counting only the distinct ones).

The product of its digits is 9216, while the sum is 29.

The square root of 4286432 is about 2070.3700152388. The cubic root of 4286432 is about 162.4421190308.

The spelling of 4286432 in words is "four million, two hundred eighty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 29 31 32 58 62 116 124 149 232 248 298 464 496 596 899 928 992 1192 1798 2384 3596 4321 4619 4768 7192 8642 9238 14384 17284 18476 28768 34568 36952 69136 73904 133951 138272 147808 267902 535804 1071608 2143216 4286432