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5556006 = 233313319
BaseRepresentation
bin10101001100011100100110
3101110021102000
4111030130212
52410243011
6315030130
765140161
oct25143446
911407360
105556006
113155345
121a3b346
1311c6ba1
14a48ad8
1574b356
hex54c726

5556006 has 32 divisors (see below), whose sum is σ = 12748800. Its totient is φ = 1791720.

The previous prime is 5555993. The next prime is 5556017. The reversal of 5556006 is 6006555.

5556006 is a `hidden beast` number, since 5 + 55 + 600 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 15 + ... + 3333.

It is an arithmetic number, because the mean of its divisors is an integer number (398400).

Almost surely, 25556006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5556006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6374400).

5556006 is an abundant number, since it is smaller than the sum of its proper divisors (7192794).

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

5556006 is a wasteful number, since it uses less digits than its factorization.

5556006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3361 (or 3355 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 5556006 is about 2357.1181557147. The cubic root of 5556006 is about 177.1145480876.

It can be divided in two parts, 555 and 6006, that added together give a 8-th power (6561 = 38).

The spelling of 5556006 in words is "five million, five hundred fifty-six thousand, six".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1674 3319 6638 9957 19914 29871 59742 89613 102889 179226 205778 308667 617334 926001 1852002 2778003 5556006