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27888252 = 22372431103
BaseRepresentation
bin110101001100…
…0101001111100
31221110212111020
41222120221330
524114411002
62433424140
7456021600
oct152305174
957425436
1027888252
1114818947
12940b050
135a15a32
1439bd500
1526ad2bc
hex1a98a7c

27888252 has 72 divisors (see below), whose sum is σ = 77527296. Its totient is φ = 7775712.

The previous prime is 27888247. The next prime is 27888253. The reversal of 27888252 is 25288872.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27888253) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 24733 + ... + 25835.

It is an arithmetic number, because the mean of its divisors is an integer number (1076768).

Almost surely, 227888252 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 27888252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38763648).

27888252 is an abundant number, since it is smaller than the sum of its proper divisors (49639044).

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

27888252 is a wasteful number, since it uses less digits than its factorization.

27888252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1158 counting only the distinct ones).

The product of its digits is 143360, while the sum is 42.

The square root of 27888252 is about 5280.9328721354. The cubic root of 27888252 is about 303.2543910284.

The spelling of 27888252 in words is "twenty-seven million, eight hundred eighty-eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 49 84 86 98 129 147 172 196 258 294 301 516 588 602 903 1103 1204 1806 2107 2206 3309 3612 4214 4412 6321 6618 7721 8428 12642 13236 15442 23163 25284 30884 46326 47429 54047 92652 94858 108094 142287 162141 189716 216188 284574 324282 332003 569148 648564 664006 996009 1328012 1992018 2324021 3984036 4648042 6972063 9296084 13944126 27888252