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5859072 = 28322543
BaseRepresentation
bin10110010110011100000000
3102000200010200
4112112130000
52444442242
6325325200
7100541562
oct26263400
912020120
105859072
11334200a
121b66800
1312a1b0b
14ac7332
157ab04c
hex596700

5859072 has 54 divisors (see below), whose sum is σ = 16899792. Its totient is φ = 1952256.

The previous prime is 5859071. The next prime is 5859107. The reversal of 5859072 is 2709585.

5859072 is a `hidden beast` number, since 585 + 9 + 0 + 72 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5859071) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1033 + ... + 3575.

Almost surely, 25859072 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 5859072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8449896).

5859072 is an abundant number, since it is smaller than the sum of its proper divisors (11040720).

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

5859072 is a wasteful number, since it uses less digits than its factorization.

5859072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2565 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 5859072 is about 2420.5520031596. The cubic root of 5859072 is about 180.2780886678.

The spelling of 5859072 in words is "five million, eight hundred fifty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 2543 5086 7629 10172 15258 20344 22887 30516 40688 45774 61032 81376 91548 122064 162752 183096 244128 325504 366192 488256 651008 732384 976512 1464768 1953024 2929536 5859072