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5684904 = 233431283
BaseRepresentation
bin10101101011111010101000
3101200211020000
4111223322220
52423404104
6321503000
766215031
oct25537250
911624200
105684904
113233175
121aa1a60
131240764
14a7da88
15774639
hex56bea8

5684904 has 80 divisors (see below), whose sum is σ = 16494720. Its totient is φ = 1827360.

The previous prime is 5684891. The next prime is 5684909. The reversal of 5684904 is 4094865.

5684904 is a `hidden beast` number, since 568 + 4 + 90 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5684909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19947 + ... + 20229.

It is an arithmetic number, because the mean of its divisors is an integer number (206184).

Almost surely, 25684904 is an apocalyptic number.

5684904 is a gapful number since it is divisible by the number (54) 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 5684904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8247360).

5684904 is an abundant number, since it is smaller than the sum of its proper divisors (10809816).

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

5684904 is a wasteful number, since it uses less digits than its factorization.

5684904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5684904 is about 2384.3036719344. The cubic root of 5684904 is about 178.4737621204.

The spelling of 5684904 in words is "five million, six hundred eighty-four thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 248 279 283 324 372 558 566 648 744 837 849 1116 1132 1674 1698 2232 2264 2511 2547 3348 3396 5022 5094 6696 6792 7641 8773 10044 10188 15282 17546 20088 20376 22923 26319 30564 35092 45846 52638 61128 70184 78957 91692 105276 157914 183384 210552 236871 315828 473742 631656 710613 947484 1421226 1894968 2842452 5684904