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26831440 = 24517109181
BaseRepresentation
bin110011001011…
…0101001010000
31212111011211001
41212112221100
523332101230
62355031344
7444030526
oct146265120
955434731
1026831440
1114166949
128b9b554
1357359bc
1437c6316
1525500ca
hex1996a50

26831440 has 80 divisors (see below), whose sum is σ = 67026960. Its totient is φ = 9953280.

The previous prime is 26831437. The next prime is 26831443. The reversal of 26831440 is 4413862.

26831440 = T1 + T2 + ... + T543.

26831440 is a nontrivial binomial coefficient, being equal to C(545, 3).

It is an interprime number because it is at equal distance from previous prime (26831437) and next prime (26831443).

It can be written as a sum of positive squares in 8 ways, for example, as 698896 + 26132544 = 836^2 + 5112^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 26831399 and 26831408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26831443) by changing a digit.

It is the 543-rd tetrahedral 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, 148150 + ... + 148330.

It is an arithmetic number, because the mean of its divisors is an integer number (837837).

Almost surely, 226831440 is an apocalyptic number.

26831440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26831440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33513480).

26831440 is an abundant number, since it is smaller than the sum of its proper divisors (40195520).

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

26831440 is a wasteful number, since it uses less digits than its factorization.

26831440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 26831440 is about 5179.9073350785. The cubic root of 26831440 is about 299.3744000261.

The spelling of 26831440 in words is "twenty-six million, eight hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 109 136 170 181 218 272 340 362 436 545 680 724 872 905 1090 1360 1448 1744 1810 1853 2180 2896 3077 3620 3706 4360 6154 7240 7412 8720 9265 12308 14480 14824 15385 18530 19729 24616 29648 30770 37060 39458 49232 61540 74120 78916 98645 123080 148240 157832 197290 246160 315664 335393 394580 670786 789160 1341572 1578320 1676965 2683144 3353930 5366288 6707860 13415720 26831440