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181052028 = 223231533061
BaseRepresentation
bin10101100101010…
…10001001111100
3110121200101200200
422302222021330
5332322131103
625544323500
74325626323
oct1262521174
9417611620
10181052028
1193221083
1250773590
132b6819a1
141a08d0ba
1510d650a3
hexacaa27c

181052028 has 72 divisors (see below), whose sum is σ = 481493376. Its totient is φ = 57283200.

The previous prime is 181052009. The next prime is 181052029. The reversal of 181052028 is 820250181.

181052028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 181051992 and 181052010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181052029) 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, 57618 + ... + 60678.

It is an arithmetic number, because the mean of its divisors is an integer number (6687408).

Almost surely, 2181052028 is an apocalyptic number.

181052028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 181052028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240746688).

181052028 is an abundant number, since it is smaller than the sum of its proper divisors (300441348).

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

181052028 is a wasteful number, since it uses less digits than its factorization.

181052028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3155 (or 3150 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 181052028 is about 13455.5575135332. The cubic root of 181052028 is about 565.7194770830.

The spelling of 181052028 in words is "one hundred eighty-one million, fifty-two thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 53 62 93 106 124 159 186 212 279 318 372 477 558 636 954 1116 1643 1908 3061 3286 4929 6122 6572 9183 9858 12244 14787 18366 19716 27549 29574 36732 55098 59148 94891 110196 162233 189782 284673 324466 379564 486699 569346 648932 854019 973398 1138692 1460097 1708038 1946796 2920194 3416076 5029223 5840388 10058446 15087669 20116892 30175338 45263007 60350676 90526014 181052028