Search a number
-
+
166642450 = 2521333741
BaseRepresentation
bin10011110111011…
…00001100010010
3102121120022110121
421323230030102
5320130024300
624311420454
74062303022
oct1173541422
9377508417
10166642450
1186079a37
124798472a
13286a8000
14181bba82
15e96a81a
hex9eec312

166642450 has 96 divisors (see below), whose sum is σ = 353258640. Its totient is φ = 58406400.

The previous prime is 166642433. The next prime is 166642471. The reversal of 166642450 is 54246661.

166642450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 141871921 + 24770529 = 11911^2 + 4977^2 .

It is a super-2 number, since 2×1666424502 = 55539412284005000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4064430 + ... + 4064470.

Almost surely, 2166642450 is an apocalyptic number.

166642450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

166642450 is an abundant number, since it is smaller than the sum of its proper divisors (186616190).

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

166642450 is a wasteful number, since it uses less digits than its factorization.

166642450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 166642450 is about 12909.0065458191. The cubic root of 166642450 is about 550.2945529675.

It can be divided in two parts, 16 and 6642450, that added together give a palindrome (6642466).

The spelling of 166642450 in words is "one hundred sixty-six million, six hundred forty-two thousand, four hundred fifty".

Divisors: 1 2 5 10 13 25 26 37 41 50 65 74 82 130 169 185 205 325 338 370 410 481 533 650 845 925 962 1025 1066 1517 1690 1850 2050 2197 2405 2665 3034 4225 4394 4810 5330 6253 6929 7585 8450 10985 12025 12506 13325 13858 15170 19721 21970 24050 26650 31265 34645 37925 39442 54925 62530 69290 75850 81289 90077 98605 109850 156325 162578 173225 180154 197210 256373 312650 346450 406445 450385 493025 512746 812890 900770 986050 1281865 2032225 2251925 2563730 3332849 4064450 4503850 6409325 6665698 12818650 16664245 33328490 83321225 166642450