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6290416 = 2411103347
BaseRepresentation
bin10111111111101111110000
3102211120211101
4113333233300
53102243131
6342454144
7104316256
oct27775760
912746741
106290416
1136070a0
122134354
1313c3252
14b9a5d6
15843c61
hex5ffbf0

6290416 has 40 divisors (see below), whose sum is σ = 13463424. Its totient is φ = 2823360.

The previous prime is 6290413. The next prime is 6290441. The reversal of 6290416 is 6140926.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6290413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17955 + ... + 18301.

Almost surely, 26290416 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 6290416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6731712).

6290416 is an abundant number, since it is smaller than the sum of its proper divisors (7173008).

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

6290416 is a wasteful number, since it uses less digits than its factorization.

6290416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 6290416 is about 2508.0701744568. The cubic root of 6290416 is about 184.5977723227.

The spelling of 6290416 in words is "six million, two hundred ninety thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 88 103 176 206 347 412 694 824 1133 1388 1648 2266 2776 3817 4532 5552 7634 9064 15268 18128 30536 35741 61072 71482 142964 285928 393151 571856 786302 1572604 3145208 6290416