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5864496 = 2431129383
BaseRepresentation
bin10110010111110000110000
3102000221120120
4112113300300
53000130441
6325410240
7100563441
oct26276060
912027516
105864496
1133460a0
121b69980
1312a4421
14ac92c8
157ac966
hex597c30

5864496 has 80 divisors (see below), whose sum is σ = 17141760. Its totient is φ = 1711360.

The previous prime is 5864489. The next prime is 5864497. The reversal of 5864496 is 6944685.

It is a d-powerful number, because it can be written as 53 + 85 + 6 + 42 + 410 + 97 + 62 .

It is not an unprimeable number, because it can be changed into a prime (5864497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15121 + ... + 15503.

It is an arithmetic number, because the mean of its divisors is an integer number (214272).

Almost surely, 25864496 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 5864496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8570880).

5864496 is an abundant number, since it is smaller than the sum of its proper divisors (11277264).

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

5864496 is a wasteful number, since it uses less digits than its factorization.

5864496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 428 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 5864496 is about 2421.6721495694. The cubic root of 5864496 is about 180.3337019554. Note that the first 3 decimals are identical.

The spelling of 5864496 in words is "five million, eight hundred sixty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 44 48 58 66 87 88 116 132 174 176 232 264 319 348 383 464 528 638 696 766 957 1149 1276 1392 1532 1914 2298 2552 3064 3828 4213 4596 5104 6128 7656 8426 9192 11107 12639 15312 16852 18384 22214 25278 33321 33704 44428 50556 66642 67408 88856 101112 122177 133284 177712 202224 244354 266568 366531 488708 533136 733062 977416 1466124 1954832 2932248 5864496