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555005556 = 2232746421
BaseRepresentation
bin100001000101001…
…011011001110100
31102200100012111100
4201011023121310
52114040134211
6131023410100
716516320000
oct4105133164
91380305440
10555005556
11265316986
12135a53930
138aca3971
14539d3700
1533ad1156
hex2114b674

555005556 has 90 divisors (see below), whose sum is σ = 1636910002. Its totient is φ = 158548320.

The previous prime is 555005533. The next prime is 555005557. The reversal of 555005556 is 655500555.

555005556 is a `hidden beast` number, since 5 + 550 + 0 + 55 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 423536400 + 131469156 = 20580^2 + 11466^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 555005556.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (555005557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 83226 + ... + 89646.

Almost surely, 2555005556 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 555005556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818455001).

555005556 is an abundant number, since it is smaller than the sum of its proper divisors (1081904446).

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

555005556 is a wasteful number, since it uses less digits than its factorization.

555005556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6459 (or 6433 counting only the distinct ones).

The product of its (nonzero) digits is 93750, while the sum is 36.

The square root of 555005556 is about 23558.5558980172. Note that the first 3 decimals coincide. The cubic root of 555005556 is about 821.7993187619.

The spelling of 555005556 in words is "five hundred fifty-five million, five thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 686 882 1029 1372 1764 2058 2401 3087 4116 4802 6174 6421 7203 9604 12348 12842 14406 19263 21609 25684 28812 38526 43218 44947 57789 77052 86436 89894 115578 134841 179788 231156 269682 314629 404523 539364 629258 809046 943887 1258516 1618092 1887774 2202403 2831661 3775548 4404806 5663322 6607209 8809612 11326644 13214418 15416821 19821627 26428836 30833642 39643254 46250463 61667284 79286508 92500926 138751389 185001852 277502778 555005556