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4280416 = 25797197
BaseRepresentation
bin10000010101000001100000
322001110121221
4100111001200
52043433131
6231424424
751245230
oct20250140
98043557
104280416
112463a38
121525114
13b6b3ba
147d5cc0
15598411
hex415060

4280416 has 48 divisors (see below), whose sum is σ = 9779616. Its totient is φ = 1806336.

The previous prime is 4280407. The next prime is 4280417. The reversal of 4280416 is 6140824.

It is a super-2 number, since 2×42804162 = 36643922266112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4280417) 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, 21630 + ... + 21826.

It is an arithmetic number, because the mean of its divisors is an integer number (203742).

Almost surely, 24280416 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 4280416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4889808).

4280416 is an abundant number, since it is smaller than the sum of its proper divisors (5499200).

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

4280416 is a wasteful number, since it uses less digits than its factorization.

4280416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 4280416 is about 2068.9166247097. The cubic root of 4280416 is about 162.3660877041.

The spelling of 4280416 in words is "four million, two hundred eighty thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 97 112 194 197 224 388 394 679 776 788 1358 1379 1552 1576 2716 2758 3104 3152 5432 5516 6304 10864 11032 19109 21728 22064 38218 44128 76436 133763 152872 267526 305744 535052 611488 1070104 2140208 4280416