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5864544 = 253272909
BaseRepresentation
bin10110010111110001100000
3102000221122100
4112113301200
53000131134
6325410400
7100563540
oct26276140
912027570
105864544
113346134
121b69a00
1312a445a
14ac9320
157ac999
hex597c60

5864544 has 72 divisors (see below), whose sum is σ = 19066320. Its totient is φ = 1675008.

The previous prime is 5864533. The next prime is 5864557. The reversal of 5864544 is 4454685.

5864544 is a `hidden beast` number, since 5 + 8 + 645 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 5864499 and 5864508.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 562 + ... + 3470.

It is an arithmetic number, because the mean of its divisors is an integer number (264810).

Almost surely, 25864544 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 5864544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9533160).

5864544 is an abundant number, since it is smaller than the sum of its proper divisors (13201776).

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

5864544 is a wasteful number, since it uses less digits than its factorization.

5864544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2932 (or 2921 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 5864544 is about 2421.6820600566. The cubic root of 5864544 is about 180.3341939553.

The spelling of 5864544 in words is "five million, eight hundred sixty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 2909 5818 8727 11636 17454 20363 23272 26181 34908 40726 46544 52362 61089 69816 81452 93088 104724 122178 139632 162904 183267 209448 244356 279264 325808 366534 418896 488712 651616 733068 837792 977424 1466136 1954848 2932272 5864544