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5804416 = 27137331
BaseRepresentation
bin10110001001000110000000
3101220220011101
4112021012000
52441220131
6324224144
7100223332
oct26110600
911826141
105804416
113304a42
121b3b054
131282c87
14ab1452
15799c61
hex589180

5804416 has 32 divisors (see below), whose sum is σ = 11683080. Its totient is φ = 2872320.

The previous prime is 5804413. The next prime is 5804423. The reversal of 5804416 is 6144085.

5804416 = 1342 + 1352 + ... + 2702.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5804413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17371 + ... + 17701.

Almost surely, 25804416 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 5804416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5841540).

5804416 is an abundant number, since it is smaller than the sum of its proper divisors (5878664).

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

5804416 is a wasteful number, since it uses less digits than its factorization.

5804416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 5804416 is about 2409.2355634101. The cubic root of 5804416 is about 179.7157653985.

The spelling of 5804416 in words is "five million, eight hundred four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 137 274 331 548 662 1096 1324 2192 2648 4384 5296 8768 10592 17536 21184 42368 45347 90694 181388 362776 725552 1451104 2902208 5804416