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26990144 = 265373109
BaseRepresentation
bin110011011110…
…1011001000000
31212210020111222
41212331121000
523402141034
62402254212
7445261316
oct146753100
955706458
1026990144
1114265105
129057368
13578cccc
1438280b6
15258212e
hex19bd640

26990144 has 56 divisors (see below), whose sum is σ = 55824120. Its totient is φ = 12939264.

The previous prime is 26990143. The next prime is 26990147. The reversal of 26990144 is 44109962.

It can be written as a sum of positive squares in 4 ways, for example, as 9684544 + 17305600 = 3112^2 + 4160^2 .

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (26990143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 247562 + ... + 247670.

Almost surely, 226990144 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 26990144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27912060).

26990144 is an abundant number, since it is smaller than the sum of its proper divisors (28833976).

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

26990144 is a wasteful number, since it uses less digits than its factorization.

26990144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 26990144 is about 5195.2039420989. The cubic root of 26990144 is about 299.9634918537.

The spelling of 26990144 in words is "twenty-six million, nine hundred ninety thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 53 64 73 106 109 146 212 218 292 424 436 584 848 872 1168 1696 1744 2336 3392 3488 3869 4672 5777 6976 7738 7957 11554 15476 15914 23108 30952 31828 46216 61904 63656 92432 123808 127312 184864 247616 254624 369728 421721 509248 843442 1686884 3373768 6747536 13495072 26990144