Search a number
-
+
5664816 = 24353147
BaseRepresentation
bin10101100111000000110000
3101122210200000
4111213000300
52422233231
6321230000
766102333
oct25470060
911583600
105664816
11321a073
121a92300
131234581
14a7661a
1576d6e6
hex567030

5664816 has 120 divisors (see below), whose sum is σ = 17332224. Its totient is φ = 1788480.

The previous prime is 5664809. The next prime is 5664817. The reversal of 5664816 is 6184665.

5664816 is a `hidden beast` number, since 5 + 6 + 648 + 1 + 6 = 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 (5664817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120505 + ... + 120551.

Almost surely, 25664816 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 5664816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8666112).

5664816 is an abundant number, since it is smaller than the sum of its proper divisors (11667408).

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

5664816 is a wasteful number, since it uses less digits than its factorization.

5664816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 83 counting only the distinct ones).

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

The square root of 5664816 is about 2380.0873933534. The cubic root of 5664816 is about 178.2632975831.

The spelling of 5664816 in words is "five million, six hundred sixty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 47 48 54 62 72 81 93 94 108 124 141 144 162 186 188 216 243 248 279 282 324 372 376 423 432 486 496 558 564 648 744 752 837 846 972 1116 1128 1269 1296 1457 1488 1674 1692 1944 2232 2256 2511 2538 2914 3348 3384 3807 3888 4371 4464 5022 5076 5828 6696 6768 7533 7614 8742 10044 10152 11421 11656 13113 13392 15066 15228 17484 20088 20304 22842 23312 26226 30132 30456 34968 39339 40176 45684 52452 60264 60912 69936 78678 91368 104904 118017 120528 157356 182736 209808 236034 314712 354051 472068 629424 708102 944136 1416204 1888272 2832408 5664816