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5800816 = 2474151
BaseRepresentation
bin10110001000001101110000
3101220201020001
4112020031300
52441111231
6324155344
7100210000
oct26101560
911821201
105800816
11330226a
121b38b54
131281448
14ab0000
15798b61
hex588370

5800816 has 50 divisors (see below), whose sum is σ = 13198312. Its totient is φ = 2469600.

The previous prime is 5800801. The next prime is 5800831. The reversal of 5800816 is 6180085.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5800801) and next prime (5800831).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 38341 + ... + 38491.

Almost surely, 25800816 is an apocalyptic number.

5800816 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5800816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6599156).

5800816 is an abundant number, since it is smaller than the sum of its proper divisors (7397496).

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

5800816 is an equidigital number, since it uses as much as digits as its factorization.

5800816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 5800816 is about 2408.4883225791. The cubic root of 5800816 is about 179.6786034310.

The spelling of 5800816 in words is "five million, eight hundred thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 151 196 302 343 392 604 686 784 1057 1208 1372 2114 2401 2416 2744 4228 4802 5488 7399 8456 9604 14798 16912 19208 29596 38416 51793 59192 103586 118384 207172 362551 414344 725102 828688 1450204 2900408 5800816