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27980388 = 22321922153
BaseRepresentation
bin110101010111…
…1001001100100
31221122112212200
41222233021210
524130333023
62435414500
7456554322
oct152571144
957575780
1027980388
1114881097
129454430
135a48957
143a04d12
1526ca743
hex1aaf264

27980388 has 54 divisors (see below), whose sum is σ = 74681334. Its totient is φ = 8831808.

The previous prime is 27980387. The next prime is 27980411. The reversal of 27980388 is 88308972.

It can be written as a sum of positive squares in only one way, i.e., 17791524 + 10188864 = 4218^2 + 3192^2 .

It is a super-2 number, since 2×279803882 = 1565804225261088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27980387) 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 17 ways as a sum of consecutive naturals, for example, 11920 + ... + 14072.

Almost surely, 227980388 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 27980388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37340667).

27980388 is an abundant number, since it is smaller than the sum of its proper divisors (46700946).

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

27980388 is a wasteful number, since it uses less digits than its factorization.

27980388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2201 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 27980388 is about 5289.6491377028. The cubic root of 27980388 is about 303.5879835058.

The spelling of 27980388 in words is "twenty-seven million, nine hundred eighty thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 684 722 1083 1444 2153 2166 3249 4306 4332 6459 6498 8612 12918 12996 19377 25836 38754 40907 77508 81814 122721 163628 245442 368163 490884 736326 777233 1472652 1554466 2331699 3108932 4663398 6995097 9326796 13990194 27980388