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6464864 = 25731931
BaseRepresentation
bin11000101010010101100000
3110011110010102
4120222111200
53123333424
6350321532
7105644000
oct30522540
913143112
106464864
11371616a
1221b92a8
131454783
14c04000
1587a7ae
hex62a560

6464864 has 96 divisors (see below), whose sum is σ = 16128000. Its totient is φ = 2540160.

The previous prime is 6464851. The next prime is 6464873. The reversal of 6464864 is 4684646.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208529 + ... + 208559.

It is an arithmetic number, because the mean of its divisors is an integer number (168000).

Almost surely, 26464864 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 6464864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8064000).

6464864 is an abundant number, since it is smaller than the sum of its proper divisors (9663136).

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

6464864 is a wasteful number, since it uses less digits than its factorization.

6464864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 59 counting only the distinct ones).

The product of its digits is 110592, while the sum is 38.

The square root of 6464864 is about 2542.6096829832. The cubic root of 6464864 is about 186.2886795633.

The spelling of 6464864 in words is "six million, four hundred sixty-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 31 32 38 49 56 62 76 98 112 124 133 152 196 217 224 248 266 304 343 392 434 496 532 589 608 686 784 868 931 992 1064 1178 1372 1519 1568 1736 1862 2128 2356 2744 3038 3472 3724 4123 4256 4712 5488 6076 6517 6944 7448 8246 9424 10633 10976 12152 13034 14896 16492 18848 21266 24304 26068 28861 29792 32984 42532 48608 52136 57722 65968 85064 104272 115444 131936 170128 202027 208544 230888 340256 404054 461776 808108 923552 1616216 3232432 6464864