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55552806 = 23229313433
BaseRepresentation
bin1101001111101…
…0101100100110
310212112101010100
43103322230212
5103210142211
65302404530
71243122351
oct323725446
9125471110
1055552806
11293a3711
1216730746
13b6809aa
147541298
154d25156
hex34fab26

55552806 has 48 divisors (see below), whose sum is σ = 128568960. Its totient is φ = 17297280.

The previous prime is 55552801. The next prime is 55552811. The reversal of 55552806 is 60825555.

It is an interprime number because it is at equal distance from previous prime (55552801) and next prime (55552811).

It is a super-2 number, since 2×555528062 = 6172228508947272, which contains 22 as substring.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (55552801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14466 + ... + 17898.

It is an arithmetic number, because the mean of its divisors is an integer number (2678520).

Almost surely, 255552806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55552806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64284480).

55552806 is an abundant number, since it is smaller than the sum of its proper divisors (73016154).

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

55552806 is a wasteful number, since it uses less digits than its factorization.

55552806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3501 (or 3498 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The square root of 55552806 is about 7453.3754769232. The cubic root of 55552806 is about 381.5651191698.

It can be divided in two parts, 555 and 52806, that added together give a square (53361 = 2312).

The spelling of 55552806 in words is "fifty-five million, five hundred fifty-two thousand, eight hundred six".

Divisors: 1 2 3 6 9 18 29 31 58 62 87 93 174 186 261 279 522 558 899 1798 2697 3433 5394 6866 8091 10299 16182 20598 30897 61794 99557 106423 199114 212846 298671 319269 597342 638538 896013 957807 1792026 1915614 3086267 6172534 9258801 18517602 27776403 55552806