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5859672 = 2337132683
BaseRepresentation
bin10110010110100101011000
3102000200221220
4112112211120
53000002142
6325332040
7100543410
oct26264530
912020856
105859672
113342505
121b67020
1312a2180
14ac7640
157ab2ec
hex596958

5859672 has 64 divisors (see below), whose sum is σ = 18036480. Its totient is φ = 1544832.

The previous prime is 5859661. The next prime is 5859677. The reversal of 5859672 is 2769585.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5859677) 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, 843 + ... + 3525.

It is an arithmetic number, because the mean of its divisors is an integer number (281820).

Almost surely, 25859672 is an apocalyptic number.

5859672 is a gapful number since it is divisible by the number (52) 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 5859672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9018240).

5859672 is an abundant number, since it is smaller than the sum of its proper divisors (12176808).

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

5859672 is a wasteful number, since it uses less digits than its factorization.

5859672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712 (or 2708 counting only the distinct ones).

The product of its digits is 151200, while the sum is 42.

The square root of 5859672 is about 2420.6759386585. The cubic root of 5859672 is about 180.2842422681.

The spelling of 5859672 in words is "five million, eight hundred fifty-nine thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 2683 5366 8049 10732 16098 18781 21464 32196 34879 37562 56343 64392 69758 75124 104637 112686 139516 150248 209274 225372 244153 279032 418548 450744 488306 732459 837096 976612 1464918 1953224 2929836 5859672