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26988816 = 24319101293
BaseRepresentation
bin110011011110…
…1000100010000
31212210011200210
41212331010100
523402120231
62402244120
7445254411
oct146750420
955704623
1026988816
1114264108
129056640
13578c51a
143827808
152581a46
hex19bd110

26988816 has 80 divisors (see below), whose sum is σ = 74370240. Its totient is φ = 8409600.

The previous prime is 26988791. The next prime is 26988823. The reversal of 26988816 is 61888962.

Added to its reverse (61888962) it gives a triangular number (88877778 = T13332).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 91966 + ... + 92258.

It is an arithmetic number, because the mean of its divisors is an integer number (929628).

Almost surely, 226988816 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 26988816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37185120).

26988816 is an abundant number, since it is smaller than the sum of its proper divisors (47381424).

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

26988816 is a wasteful number, since it uses less digits than its factorization.

26988816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 418 counting only the distinct ones).

The product of its digits is 331776, while the sum is 48.

The square root of 26988816 is about 5195.0761303373. The cubic root of 26988816 is about 299.9585720571.

Adding to 26988816 its reverse (61888962), we get a triangular number (88877778 = T13332).

The spelling of 26988816 in words is "twenty-six million, nine hundred eighty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 101 114 152 202 228 293 303 304 404 456 586 606 808 879 912 1172 1212 1616 1758 1919 2344 2424 3516 3838 4688 4848 5567 5757 7032 7676 11134 11514 14064 15352 16701 22268 23028 29593 30704 33402 44536 46056 59186 66804 88779 89072 92112 118372 133608 177558 236744 267216 355116 473488 562267 710232 1124534 1420464 1686801 2249068 3373602 4498136 6747204 8996272 13494408 26988816