Search a number
-
+
26057376 = 25361117
BaseRepresentation
bin110001101100…
…1101010100000
31211000212000000
41203121222200
523132314001
62330300000
7434325012
oct143315240
954025000
1026057376
1113788324
128887600
135524587
1436641b2
15244aa86
hex18d9aa0

26057376 has 84 divisors (see below), whose sum is σ = 76984362. Its totient is φ = 8678016.

The previous prime is 26057363. The next prime is 26057393. The reversal of 26057376 is 67375062.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 25765776 + 291600 = 5076^2 + 540^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 26057376.

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 13 ways as a sum of consecutive naturals, for example, 22770 + ... + 23886.

Almost surely, 226057376 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 26057376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38492181).

26057376 is an abundant number, since it is smaller than the sum of its proper divisors (50926986).

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

26057376 is an equidigital number, since it uses as much as digits as its factorization.

26057376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 26057376 is about 5104.6425927777. The cubic root of 26057376 is about 296.4673649109.

The spelling of 26057376 in words is "twenty-six million, fifty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1117 1296 1458 1944 2234 2592 2916 3351 3888 4468 5832 6702 7776 8936 10053 11664 13404 17872 20106 23328 26808 30159 35744 40212 53616 60318 80424 90477 107232 120636 160848 180954 241272 271431 321696 361908 482544 542862 723816 814293 965088 1085724 1447632 1628586 2171448 2895264 3257172 4342896 6514344 8685792 13028688 26057376