Search a number
-
+
26948628 = 22327215277
BaseRepresentation
bin110011011001…
…1010000010100
31212201010120100
41212303100110
523344324003
62401334100
7445026300
oct146632024
955633510
1026948628
11142369a3
129037330
135777145
143816d00
152574ba3
hex19b3414

26948628 has 54 divisors (see below), whose sum is σ = 79246986. Its totient is φ = 7699104.

The previous prime is 26948609. The next prime is 26948633. The reversal of 26948628 is 82684962.

It can be written as a sum of positive squares in only one way, i.e., 17288964 + 9659664 = 4158^2 + 3108^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5875 + ... + 9402.

Almost surely, 226948628 is an apocalyptic number.

26948628 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

26948628 is an abundant number, since it is smaller than the sum of its proper divisors (52298358).

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

26948628 is a wasteful number, since it uses less digits than its factorization.

26948628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15301 (or 15289 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 26948628 is about 5191.2067961121. The cubic root of 26948628 is about 299.8096125343.

The spelling of 26948628 in words is "twenty-six million, nine hundred forty-eight thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 15277 30554 45831 61108 91662 106939 137493 183324 213878 274986 320817 427756 549972 641634 748573 962451 1283268 1497146 1924902 2245719 2994292 3849804 4491438 6737157 8982876 13474314 26948628