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55430166 = 231117127389
BaseRepresentation
bin1101001101110…
…0110000010110
310212022010220010
43103130300112
5103142231131
65300021050
71242101661
oct323346026
9125263803
1055430166
112931a560
1216691786
13b639c1c
14750c6d8
154cedb46
hex34dcc16

55430166 has 64 divisors (see below), whose sum is σ = 129392640. Its totient is φ = 15644160.

The previous prime is 55430159. The next prime is 55430203. The reversal of 55430166 is 66103455.

55430166 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 142300 + ... + 142688.

It is an arithmetic number, because the mean of its divisors is an integer number (2021760).

Almost surely, 255430166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55430166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64696320).

55430166 is an abundant number, since it is smaller than the sum of its proper divisors (73962474).

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

55430166 is a wasteful number, since it uses less digits than its factorization.

55430166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549.

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 55430166 is about 7445.1437863885. The cubic root of 55430166 is about 381.2841275192.

Subtracting 55430166 from its reverse (66103455), we obtain a square (10673289 = 32672).

The spelling of 55430166 in words is "fifty-five million, four hundred thirty thousand, one hundred sixty-six".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 127 187 254 374 381 389 561 762 778 1122 1167 1397 2159 2334 2794 4191 4279 4318 6477 6613 8382 8558 12837 12954 13226 19839 23749 25674 39678 47498 49403 71247 72743 98806 142494 145486 148209 218229 296418 436458 543433 839851 1086866 1630299 1679702 2519553 3260598 5039106 9238361 18476722 27715083 55430166