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4284416 = 213523
BaseRepresentation
bin10000010110000000000000
322001200010002
4100112000000
52044100131
6231455132
751263003
oct20260000
98050102
104284416
112466a44
1215274a8
13b70176
147d753a
155996cb
hex416000

4284416 has 28 divisors (see below), whose sum is σ = 8584692. Its totient is φ = 2138112.

The previous prime is 4284389. The next prime is 4284419. The reversal of 4284416 is 6144824.

It is a super-2 number, since 2×42844162 = 36712440922112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4284419) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7931 + ... + 8453.

Almost surely, 24284416 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 4284416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4292346).

4284416 is an abundant number, since it is smaller than the sum of its proper divisors (4300276).

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

4284416 is an frugal number, since it uses more digits than its factorization.

4284416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 525 counting only the distinct ones).

The product of its digits is 6144, while the sum is 29.

The square root of 4284416 is about 2069.8830884859. The cubic root of 4284416 is about 162.4166483778.

The spelling of 4284416 in words is "four million, two hundred eighty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 512 523 1024 1046 2048 2092 4096 4184 8192 8368 16736 33472 66944 133888 267776 535552 1071104 2142208 4284416