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55430172 = 223273672
BaseRepresentation
bin1101001101110…
…0110000011100
310212022010220100
43103130300130
5103142231142
65300021100
71242102000
oct323346034
9125263810
1055430172
112931a566
1216691790
13b639c25
14750c700
154cedb4c
hex34dcc1c

55430172 has 108 divisors (see below), whose sum is σ = 165874800. Its totient is φ = 15600816.

The previous prime is 55430159. The next prime is 55430203. The reversal of 55430172 is 27103455.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

55430172 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 35 ways as a sum of consecutive naturals, for example, 827283 + ... + 827349.

Almost surely, 255430172 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 55430172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82937400).

55430172 is an abundant number, since it is smaller than the sum of its proper divisors (110444628).

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

55430172 is a wasteful number, since it uses less digits than its factorization.

55430172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 55430172 is about 7445.1441893358. The cubic root of 55430172 is about 381.2841412765.

The spelling of 55430172 in words is "fifty-five million, four hundred thirty thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 67 84 98 126 134 147 196 201 252 268 294 343 402 441 469 588 603 686 804 882 938 1029 1206 1372 1407 1764 1876 2058 2412 2814 3087 3283 4116 4221 4489 5628 6174 6566 8442 8978 9849 12348 13132 13467 16884 17956 19698 22981 26934 29547 31423 39396 40401 45962 53868 59094 62846 68943 80802 91924 94269 118188 125692 137886 161604 188538 206829 219961 275772 282807 377076 413658 439922 565614 659883 827316 879844 1131228 1319766 1539727 1979649 2639532 3079454 3959298 4619181 6158908 7918596 9238362 13857543 18476724 27715086 55430172